1) Olympiad . . . . 2 equilateral triangle. Find pink triangle area. #ClassIX #circles CBSE Classes 978 подписчиков Скачать
26) A heap of wheat is in the form of a cone whose diameter is 10.5m & height is 3m. Find its volume Скачать
25) If the triangle ABC in the Q. 7 above is revolved about the side 5cm, then find volume of solid. Скачать
24) A right triangle ABC with sides 5cm, 12cm & 13cm is revolved about the side 12cm. Find volume Скачать
23) The volume of a right circular cone is 9856 cm3. If diameter of base is 28 cm, find ht of cone Скачать
21) If the volume of a right circular cone of height 9 cm is 48 π cm3, find the diameter of its base Скачать
20) The height of a cone is 15 cm. If its volume is 1570 cm3, find radius of the base.(Use π = 3.14) Скачать
19) Find the capacity in litres of a conical vessel with (i) Radius 7cm, Slant ht 25cm (ii) Ht 12cm Скачать
18) Find volume of the right circular cone with (i) radius 6cm, height 7cm (ii) rad 3.5cm, ht 12cm Скачать
17) A right circular cylinder just encloses a sphere of radius r. Find(i) surface area of sphere, Скачать
16) A hemispherical bowl is made of steel, 0.25 cm thick. Inner radius of bowl is 5 cm. Find outer Скачать
15) The diameter of the moon is approximately one fourth of the diameter of the earth. Find ratio Скачать
14) Find the radius of a sphere whose surface area is 154 cm2. #Class IX #surfaceareaandvolume Скачать
13) A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it Скачать
12) Radius of spherical balloon increases from 7cm to 14cm as air is being pumped in it. Find ratio Скачать
9) Find the surface area of a sphere of radius: (i) 10.5 cm (ii) 5.6 cm (iii) 14 cm #Class IX Скачать
8) A bus stop is barricaded from remaining part of road, by using 50 hollow cones made of recycled. Скачать
6) The slant height and base diameter of a conical tomb are 25m and 14m respectively. Find the cost Скачать
7) A joker’s cap is in form of a right circular cone of base radius 7cm & height 24cm. Find area of Скачать
5) What length of tarpaulin 3m wide will be reqd to make conical tent of height 8m &base radius 6m? Скачать
4) A conical tent is 10 m high and the radius of its base is 24 m. Find (i) slant height of tent. Скачать
3) Curved surface area of a cone is 308 cm2 & its slant height is 14 cm. Find (i) radius of the base Скачать
2) Find the total surface area of a cone, if its slant height is 21m & diameter of its baseis 24 m. Скачать
1) Diameter of base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved Surface area Скачать
21) ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C. #Class IX #Math Скачать
19) Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR Скачать
20) BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the Скачать
18) AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC Скачать
17) ΔABC and ΔDBC are two isosceles triangles on same base BC & vertices A & D are on same side BC Скачать
16) Show that the angles of an equilateral triangle are 60° each. Ex:7.2 #Class IX #Math #CBSE Скачать
13) ABC and DBC are two isosceles triangles on same base BC (see Fig. 7.33). Show that ∠ABD = ∠ACD. Скачать
15) ABC is a right angled triangle in which ∠A = 90°and AB = AC. Find ∠B and ∠C. Ex:7.2 #ClassIX Скачать
14) ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Скачать
12) ABC is a triangle in which altitudes BE & CF to sides AC & AB are equal (see Fig. 7.32). Show Скачать
11) ABC is isosceles triangle in which altitudes BE & CF are drawn to equal sides AC & AB respective Скачать
10) In ΔABC, AD is perpendicular bisector of BC (Fig. 7.30). Show that ΔABC is isosceles triangle Скачать
9) In an isosceles triangle ABC, with AB = AC, bisectors of ∠B & ∠C intersect each other at O. Скачать
1) Olympiad Qs. Find area of Square divided in 6 equal part. #ClassVIII #Math Ch:10 Mensuration Скачать
1) Olympiad Qs - find sum of all angles. (5x5 square) #ClassVIII #Math #CBSE Ch:3 Understanding Скачать
7) AB is line segment & P is its mid-point. D and E are pts on same side of AB such that ∠BAD = ∠ABE Скачать
6) In Fig. 7.21, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE. #Class IX #Math Ch:7 Triangles Скачать
5) Line l is bisector of angle ∠A & B is point on l. BP & BQ are perpendicular from B to arm of ∠A Скачать
4) l & m are parallel lines intersected by another pair of parallel lines p & q. Show ΔABC ≅ ΔCDA. Скачать
3) AD and BC are equal perpendiculars to a linesegment AB (see Fig. 7.18). Show that CD bisects AB. Скачать
2) ABCD is quadrilateral in which AD = BC & ∠DAB = ∠CBA (see Fig. 7.17). Prove that(i) Δ ABD ≅ Δ BAC Скачать
8.03.01 Classification of quadrilaterals - Based on side & diagonal Ch:8 Understanding Quadrilateral Скачать
13) ABC is triangle right angled at C. A line through mid-point M of hypotenuse AB & parallel to BC Скачать
12) In a parallelogram ABCD, E and F are mid-points of sides AB & CD respectively (see Fig. 8.22). Скачать
11) ABCD is a trapezium in which AB || DC, BD is diagonal & E is mid-point of AD. (Quadrilaterals) Скачать
10) ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD & DA respectively. Скачать
9) ABCD is a rhombus and P, Q, R and S are mid-points of the sides AB, BC, CD & DA respectively. Скачать
8) ABCD is quadrilateral in which P, Q, R & S are mid-point of sides AB, BC, CD & DA(see Fig 8.20). Скачать
7) ABCD is trapezium in which AB || CD & AD = BC (see Fig. 8.14). Show that (i) ∠A = ∠B (ii) ∠C = ∠D Скачать
6) ABCD is parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Скачать
5) In parallelogram ABCD, two points P & Q are taken on diagonal BD such that DP = BQ(see Fig. 8.12) Скачать
4) ABCD is a rectangle in which diagonal AC bisects∠ A as well as ∠ C. Show that: (i) ABCD is square Скачать
3) Diagonal AC of a parallelogram ABCD bisects∠ A (see Fig. 8.11). Show that(i) it bisects ∠ C also, Скачать
1) If the diagonals of a parallelogram are equal, then show that it is rectangle. Ch:8 Quadrilateral Скачать
18) If circles are drawn taking two sides of triangle as diameter, prove that point of intersection Скачать
17) Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn Скачать
15) If diagonals of cyclic quadrilateral are diameter of circle through the vertice of quadrilateral Скачать
14) ABCD is a cyclic quadrilateral whose diagonals intersect at point E. If ∠ DBC = 70°, ∠BAC is 30° Скачать
13) In Fig. 9.26, A, B, C & D are four points on a circle. AC & BD intersect at a point E such that Скачать
12) In Fig. 9.25, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC. #Class IX #Math #NCERT #CBSE Ch:9 Circles Скачать
11) In Fig. 9.24, ∠PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR. Скачать
10) A chord of a circle is equal to radius of circle. Find angle subtended by chord at a pt on minor Скачать
9) A,B, C are 3 pts on circle with centre O such that ∠BOC = 30° & ∠AOB = 60°. D is a pt on circle Скачать
Q.15) Find "4^x - 2^x" Olympiad level (Class VIII - Maths - Exponent & power) #CBSE #NTSE #exam Скачать
Q.13) Find relation between "x, y and z" (Class VIII - Maths - Exponent & power) #CBSE #NTSE #exam Скачать
Q.12) Find "x +" y + z" Olympiad level (Class VIII - Maths - Exponent & power) #CBSE #NTSE #exam Скачать
9.09.08 Ten Qs from Olympiad & competitive exams on finding angle #ClassIX #Math #CBSE #Circles Скачать
30) Cyclic quadrilateral with 2 equal sides. Find the angle. #ClassIX #Math #NCERT #CBSE #Circles Скачать
29) Pentagon with 3 equal sides in a circle. Find angle. #Class IX #Math #NCERT #CBSE Ch:9 Circle Скачать
25) Chord intersecting outside circle. Find angle "alpha". O is centre of circle. #Class IX #Math Скачать
7) Three girl Reshma, Salma & Mandip are playing a game by standing on a circle of radius 5m in park Скачать
4) If two equal chords of a circle intersect within the circle, prove that -segments of one chord Скачать
3) Two circles of radii 5 cm & 3 cm intersect at 2 pts & the distance between their centres is 4 cm. Скачать
5) If two equal chords of a circle intersect within the circle, prove that the line joining point Скачать
6) If a line intersects two concentric circles with centre O at A, B, C and D, prove that AB = CD. Скачать
8) Circular park of radius 20m is situated in a colony. 3 boys Ankur, Syed, David are sitting Скачать
2) Prove that if chords of congruent circles subtend equal angles at centre, then chords are equal. Скачать
Q.9) Find "4^x + 4^-x" Olympiad level (Class VIII - Maths - Exponent & power) #CBSE #NTSE #exam Скачать
Q.7) Find 'x' - Olympiad level (Class VIII - Maths - Exponent & power) #CBSE #NTSE #MVPP #exam Скачать
8.10.05 Find 'x' with eqns involving irrational no.s ( Class VIII - Maths - Ch:10 exponent & power) Скачать
5.01 Introduction Progression vs series [ Arithmetic Progression - Ch:5 - class X - Maths - CBSE ] Скачать
4) If pth, qth & rth term of an AP is x, y & z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0 Скачать
5) If (m+1)th term of an AP is twice the (n+1)th term, prove that (3m+1)term is twice the (m+n+1). Скачать
Ex 5.4 - Q.5) A small terrace at a football ground comprises of 15 steps each of which is 50 m long Скачать
Ex 5.4 - Q.4) The houses of a row are numbered consecutively from 1 to 49. Show there is value of x Скачать
Ex 5.4 - Q.3) A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at Скачать
Ex 5.4 - Q.2) The sum of third and seventh terms of an AP is 6 and their product is 8. Find the sum Скачать
Ex 5.3 - Q.2) Find the sums given below :(i) 7 +10.5 + 14 + . . .+ 84 (ii) 34 + 32 + 30 + . . .+ 10 Скачать
Ex 5.3 - Q.1) iv) Find the sum of the following APs: (iv) 𝟏/𝟏𝟓 , 𝟏/𝟏𝟐 , 𝟏/𝟏𝟎 , . . . , to 11 terms Скачать
Ex 5.3 - Q.1) iii) Find the sum of the following APs: (iii) 0.6, 1.7, 2.8, . . . , to 100 terms. Скачать
Ex 5.3 - Q.1) Find the sum of following APs: (i) 2, 7, 12, . . , to 10 terms (ii) –37, –33, –29, . . Скачать
Ex 5.3 - Q.20) In a potato race, a bucket is placed at starting point, which is 5m from first potato Скачать
Ex 5.3 - Q.19) 200 logs are stacked in following manner: 20 logs in bottom row, 19 in the next row, Скачать
Ex 5.3 - Q.18) A spiral is made up of successive semicircles, with centres alternately at A and B Скачать
Ex 5.3 - Q.17) In a school, students thought of planting trees around school to reduce air pollution Скачать
Ex 5.3 - Q.16) A sum of Rs 700 is to be used to give seven cash prizes to students of school for Скачать
Ex 5.3 - Q.15) A contract on construction job specifies a penalty for delay of completion beyond Скачать
Ex 5.3 - Q.11) If sum of 1st n terms of an AP is 4n – n2, what is 1st term? What is sum of 2 terms? Скачать
Ex 5.3 - Q.10) Show that a1, a2, . ., an, form an AP where an is:(i) an = 3 + 4n find sum of 15 term Скачать
Ex 5.3 - Q.9) If the sum of first 7 terms of an AP is 49 & that of 17 terms is 289, find sum of 1st Скачать
Ex 5.3 - Q.6) The 1st and last terms of an AP are 17 & 350 respectively. If d= 9, what is their sum? Скачать
Ex 5.3 - Q.5) First term of an AP is 5, the last term is 45 and the sum is 400. Find number of terms Скачать
Ex 5.3 - Q.4) How many terms of the AP : 9, 17, 25, . . . must be taken to give a sum of 636? Скачать
Ex 5.2 - Q.1) Fill in the blanks in following table, given that “a” is 1st term, “d” the common Скачать
Ex 5.2 - Q.2) Choose the correct choice in the following and justify : 30th term of AP: 10, 7, 4, . Скачать
Ex 5.2 - Q.5) Find the number of terms in each of the following APs : (i) 7, 13, 19, . . . , 205 Скачать
Ex 5.2 - Q.6) Check whether –150 is a term of the AP : 11, 8, 5, 2 . . . Class X - Math - NCERT Скачать
Ex 5.2 - Q.8) An AP consists of 50 term of which 3rd term is 12 and last term is 106. Find 29th term Скачать
Ex 5.2 - Q.9) If the 3rd and 9th terms of an AP are 4 and –8 respectively, which term of AP is zero? Скачать
Ex 5.2 - Q.10) The 17th term of an AP exceeds its 10th term by 7. Find the common difference. Скачать
Ex 5.2 - Q.11) Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term? Скачать
Ex 5.2 - Q.12) Two APs have same common difference. The difference between their 100th terms is 100 Скачать
Ex 5.2 - Q.15) For what value of n, are nth terms of two APs: 63, 65, 67, . .and 3, 10, 17, ..equal Скачать
Ex 5.2 - Q.16) Determine the AP whose 3rd term is 16 & the 7th term exceeds the 5th term by 12. Скачать
Ex 5.2 - Q.17) Find the 20th term from the last term of AP : 3, 8, 13, . . ., 253. Class X - NCERT Скачать
Ex 5.2 - Q.18) Sum of 4th and 8th terms of an AP is 24 and sum of 6th and 10th terms is 44. Find fir Скачать
Ex 5.2 - Q.19) Subba Rao started work in 1995 at annual salary of ₹5000 & received increment of ₹200 Скачать
Ex 5.2 - Q.20) Ramkali saved ₹5 in 1st week of the year & then increased her weekly saving by ₹1.75. Скачать