Assertion (A) : If one root of the quadratic equation 4x² − 10x + (k − 4) = 0 is reciprocal of the other, then value of k is 8. Reason (R) : Roots of the quadratic equation x² − x + 1 = 0 are real.

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Nature of Roots Based on Discriminant, Roots of a Quadratic Equation | PadhAiPro

Question

Assertion-ReasonNature of Roots Based on DiscriminantRoots of a Quadratic EquationCBSE PYQ

Similar Questions

Find two consecutive odd integers, sum of whose squares is 290.

TextRoots of a Quadratic EquationQuadratic Formula for Finding Roots

A charity trust decides to build a rectangular hall having an area of 300 m². The length of the hall is one metre more than twice its width. Find the length and breadth of the hall.

Text

Roots of a Quadratic Equation

Quadratic Formula for Finding Roots

For the equation x² + 5x – 1, which of the following statements is correct?

MCQ (Single)Nature of Roots Based on Discriminant

Assertion (A): The quadratic equation x² + 4x + 5 = 0 has no real roots. Reason (R): The discriminant is greater than zero.

Assertion-ReasonNature of Roots Based on Discriminant

Assertion(A): If the coefficient of x² and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots. Reason (R): Every quadratic equation has at least two roots.

Assertion-ReasonNature of Roots Based on Discriminant

Find the discriminant of the equation 3x² – 2x + 1/3 = 0 and hence find the nature of its roots. Find them, if they are real.

TextDiscriminant of a Quadratic EquationNature of Roots Based on DiscriminantQuadratic Formula for Finding Roots