Find the sum to n terms of the sequence (x+1/x)2,(x2+1/x2)2,(x2+1/x3)2,...... Study Space 9,04 тыс. подписчиков Скачать
If f is a function satisfying f(x+y)=f(x)f(y) for all x,y∈N such that f(1)=3 and n∑x=1 f(x)=120... Скачать
If S be the sum, P the product and R the sum of the reciprocals of n terms of a G.P, prove that... Скачать
A person writes a letter to four of his friends. He asks each one of them to copy the letter and... Скачать
Find the equation of a line with slope -1 and cutting off an intercept of 4 units on negative....... Скачать
Determine X so that the line passes through 3, 4 and X,5 Max 135 angle with the positive directio... Скачать
What is the value of y so that the line through (3,y)and(2,7) is parallel to the line through (−1,.. Скачать
Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (- 1, - 1) are vert... Скачать
A quadrilateral has the vertices at the points (-4, 2), (2, 6), (8, 5) and (9, -7). Show that th.... Скачать
If the angle between two lines is π/4 and slope of one of the line is 1/2, find the slope of the... Скачать
Using the concept of slope, prove that medians of an equilateral triangle are perpendicular to the.. Скачать
Prove that a triangle which has one of the angle as 30 degree, can not have all vertices with... Скачать
The vertices of a triangle are A(x1,x1tanθ1),B(x2,x2tanθ2) & C(x3,x3tanθ3). If the circumcentre... Скачать
Find the equation of a straight line cutting off an intercept-1 from the y-axis and being equally... Скачать
Find the equation of a straight line which makes an angle of Tan^-1 √2 with the -axis and cuts off.. Скачать
Find the equation of a line that has y-intercept as 4 and is perpendicular to line joining (2,−3)... Скачать
Find the equation of the straight line which makes an angles of 15∘ with the positive direction... Скачать
P1,P2 are points on either of the two lines y−√3|x|=2 at a distance of 5 units from their point..... Скачать
Find the equation of a line passing through (2, -3) and inclined at an angle of 135∘ with the....... Скачать
The equation of a straight line which cuts off an intercept of 5 units on the negative direction.... Скачать
The angles of a triangle are in AP and the number of grades in the least is to the number of........ Скачать
Express the angular measurement of the angle of a regular decagon in the degrees, grades and...... Скачать
If in two circles, arcs of the same length subtend angles 60∘ and 75∘ at the centre, find the....... Скачать
A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop....... Скачать
The perimeter of a certain sector is equal to the length of Arc of a semicircle having the same... Скачать
Find the angle between the minute hand and the hour hand of a clock when the time is 7:20 AM. Скачать
A horse is tied to a post by a rope. If the horse moves along a circular path, always keeping the... Скачать
In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of..... Скачать
The angles of a triangle are in A.P. and the number of degrees in the least is to the number of ra.. Скачать
Describe each of the following sets in Roster form- (x : x is a letter of the word 'PROPORTI..... Скачать
Write the following sets in the roaster form. A = {x | x is a positive integer less than 10.... Скачать
Describe the following set in Roster form- {x∣x is a positive factor of the number 2p−1(2p−1... Скачать
Let A={1,2,3,4},B={1,2,3} and C={2,4}. Find sets X satisfying each pair of conditions. X⊆B and X⊆/C Скачать
Let A= {1, 2, {3, 4,}, 5}. Which of the following statements are incorrect and why? (i) {3, 4}⊂ A... Скачать
Let A={1,2,3,4},B={1,2,3} and C={2,4}. Find sets X satisfying each pair of conditions. X⊆B,X≠B and.. Скачать
Let A={1,2,3,4},B={1,2,3} and C={2,4}. Find sets X satisfying each pair of conditions.X⊆A,X⊆B and... Скачать
Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example. Скачать
Show that any positive odd integer is of the form ( 6m +1) or ( 6m +3) or (6m+ 5) where m is... Скачать
Use Euclid's division lemma to show that cube of any positive integer is either of the form 9m... Скачать
Show that one and only one out of n, n+2 or n+4 is divisible by 3, where n is any positive integer. Скачать
Show that one and only one out of n, n+1 or n+2 is divisible by 3, where n is any positive integer. Скачать
