Mathematics
Consider the polynomial 2x2 - 3x + 5
Assertion (A): Factorisation of the above polynomial is not possible.
Reason (R): Discriminant 'b2 - 4ac' is negative.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Quadratic Equations
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Answer
Given,
Polynomial : 2x2 - 3x + 5
Discriminant (D) = b2 - 4ac
= (-3)2 - 4 x 2 x 5
= 9 - 40
= -31.
So, reason (R) is true.
Since the discriminant is negative, this quadratic has no real roots and cannot be factorized into linear factors with real coefficients.
So, assertion (A) is true and reason (R) correctly explains assertion (A).
Thus, both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Hence, option 3 is the correct option.
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