CBSE Class 10 Mathematics Standard 2025 Sample Paper Set 02 Solved

SECTION A

1 If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and -3, then
(a) a = -7, b = -1
(b) a = 5, b = -1
(c) a = 2, b = -6
( d) a = 0, b = -6
Answer: d

2 The zeroes of the quadratic polynomial x² + 9x + 18 are
(a) both positive
(b) both negative
(c) one positive and one negative
(d) both equal
Answer: b

3 For what value k, do the equations 2x – y + 3 = 0 and 6x – ky + 9 = 0 represent coincident lines?
(a) 2
(b) – 2
(c) 3
(d) -3
Answer: c

4 If the sum and product of the roots of the equation 3𝑥² − 8𝑥 + 2𝑘 = 0 are equal, then thevalue of k is
(a) 4
(b) 3
(c) 6
(d) 8
Answer: a 

5 If 2x, x + 10, 3x + 2 are in A.P., then x is equal to
(a) 0
(b) 2
(c) 4
(d) 6 1
Answer: d

6 The coordinates of a point P, where PQ is the diameter of a circle whose centre is (2, – 3)and Q is (1, 4) is:
(a) (3, -10)
(b) (2, -10)
(c) (-3, 10)
(d) (-2, 10)
Answer: a

7 If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:
(a) 2
(b) -2
(c) 1
(d) -1
Answer: a

8 The value of (sin30° + cos30°) – (sin60° + cos60° ) is …..
(a) −1
(b) 0
(c) 1
(d) 2
Answer: b

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