Assertion(A): The roots of the quadratic equation x² + 2x + 2 = 0 are imaginary Reason(R): If discriminant D = b² – 4ac < 0 then the roots of quadratic equation ax² + bx + c = 0 are imaginary.

Question

Assertion-ReasonConditions for No Real Roots

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Which of the following equations does not have a real root ?

If ad ≠ bc, then prove that the equation: (a² + b²)x² + 2(ac + bd)x + (c² + d²) = 0 has no real roots.

Conditions for No Real Roots

Which of the following equations has no real roots?

Assertion (A): The polynomial p(x) = x² + 4 has no real zeros. Reason (R): A quadratic polynomial ax² + bx + c has real zeros only if b² − 4ac ≥ 0.