Karnataka Secondary Education Examination Board came into existence in the year 1966. It conducts examinations for class 10th of affiliated schools and 12 other examinations like Karnataka open school, Diploma in Education, Music etc. The Board has Bangalore as its headquarters. Examination related issues pertaining to four educational divisions are addressed by divisional secretaries or ex-officio Joint Directors of the Board at Belguam, Kalaburgi and Mysore. KSEEB headquarters is at Malleshwaram, Bangalore which houses the Secretary’s office for Bangalore educational division also..
Every year nearly 8.5 lakh students appear for the SSLC (Secondary School Leaving Certificate) examination which will be conducted in March/April of every year. The Board reconducts the same examination in the month of June for the benefit of the students who fail in main examinations. Nearly 2.20 lac students take the supplementary examination.
If the nth term of an arithmetic progression an = 24 − 3n , then its 2nd term is
18
15
0
2
2. The lines represented by 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0 are
(A) Intersecting lines
(B) Perpendicular lines to each other
(C) Parallel lines
(D) Coincident lines
3. A straight line which passes through two points on a circle is
a chord
a secant
a tangent
the radius
4. If the area of a circle is 49π sq.units then its perimeter is
7 π units
9 π units
14 π units
49 π units
5. “The product of two consecutive positive integers is 30.” This can be expressed algebraically as
(A) x ( x + 2 ) = 30
(B) x ( x – 2 ) = 30
(C) x ( x – 3 ) = 30
(D) x ( x + 1 ) = 30
If a and b are any two positive integers then HCF ( a, b ) × LCM ( a, b ) is equal to
a + b
a – b
a × b
a ÷ b
The value of cos 48° – sin 42° is
0
𝟏/𝟒
(C) 𝟏/𝟐
(D) 1
If P ( A ) = 0·05 then P ( Ā ) is
0·59
0·95
1
1·05
The given graph represents a pair of linear equations in two variables. Write how many solutions these pair of equations have.
17 = 6 × 2 + 5 is compared with Euclid’s Division lemma a = bq + r, then which number is representing the remainder ?
Find the zeroes of the polynomial P ( x ) = x2 − 3 .
Write the degree of the polynomial P ( x ) = 〖𝟐𝒙〗^𝟐−𝒙^𝟑+𝟓
Find the value of the discriminant of the quadratic equation 〖𝟐𝒙〗^𝟐−𝟒𝒙+𝟑=𝟎
Write the formula to calculate the curved surface area of the frustum of a cone.
Find the sum of first twenty terms of Arithmetic series 2 + 7 + 12 + ... using suitable formula
In Δ ABC, AD ⊥ BC and AD2 = BD × CD. Prove that
AB2 + AC2 = ( BD + CD )2.
In Δ ABC, DE || BC. If AD = 5 cm, BD = 7 cm and AC = 18 cm, find
the length of AE.
In the given figure if PQ || RS, prove that Δ POQ ~ Δ SOR.
Solve the following pair of linear equations by any suitable method :
x + y = 5
2x – 3y = 5
In the figure, ABCD is a square of side 14 cm. A, B, C and D are the centers of four congruent circles such that each circle touches externally two of the remaining three circles. Find the area of the shaded region.
Draw a circle of radius 4 cm and construct a pair of tangents such that the angle between them is 60°.
Find the co-ordinates of point which divides the line segment joining the points A ( 4, – 3 ) and B ( 8, 5 ) in the ratio 3 : 1 internally.
Prove that 𝟑+√𝟓 is an irrational number.
The sum and product of the zeroes of a quadratic polynomial
𝑷(𝒙)=𝒂𝒙^𝟐+𝒃𝒙+𝒄 are – 3 and 2 respectively. Show that b + c = 5a.
Find the quotient and the remainder when 𝑷(𝒙)=𝟑𝒙^𝟑+𝒙^𝟐+𝟐𝒙+𝟓
is divided by 𝒈(𝒙)=𝒙^𝟐+𝟐𝒙+𝟏.
