Question 12 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at July 25, 2026 by Teachoo

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Question 12 If zeroes of the quadratic polynomial 𝑎𝑥^2+𝑏𝑥+𝑐(𝑎,𝑐≠0) are equal, then (A) c and b must have opposite signs (B) 𝑐 and a must have opposite signs (C) c and b must have same signs (D) c and a must have same signsSince the zeroes are equal D = 0 b2 − 4ac = 0 b2 = 4ac 𝑏^2/4 = ac ac = 𝒃^𝟐/𝟒 Since square numbers are always positive, 𝒃^𝟐 is positive and 𝒃^𝟐/𝟒 will be positive And, right side will also be positive ∴ ac > 0 Now, product ac is positive if both a and c will have the same sign So, the correct answer is (d)

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