Chapter 4 – Quadratic Equations

One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are

If -5 is a root of the quadratic equation \(2x^{2} + px – 15\) = 0, then

The two consecutive odd positive integers, sum of whose squares is 290 are

The value of b2 – 4ac for equation \(3x^{2} – 7x – 2\) = 0 is

Value(s) of k for which the quadratic equation 2×2 -kx + k = 0 has equal roots is

Find the two consecutive odd positive integers, sum of whose square is 290

Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?

Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?

The equation (x – 2)2 + 1 = 2x – 3 is a

Two candidates attempt to solve a quadratic equation of the form x2 + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :

The quadratic equation has degree

The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is

If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is

The equation x2 – px + q = 0 p, q e R has no real roots if :

The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then

If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then

If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are

The sum of the roots of the quadratic equation 3×2 – 9x + 5 = 0 is

The cubic equation has degree

The equation 2×2 + kx + 3 = 0 has two equal roots, then the value of k is

The quadratic equation whose one rational root is 3 + v2 is

A bi-quadratic equation has degree

If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is

The quadratic equation 2×2 – 3x + 5 = 0 has?

25. Which of the following is not a quadratic equation

26. The quadratic equation has degree

27. The cubic equation has degree

28. A bi-quadratic equation has degree

29. The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is

30. The equation \((x – 2)^{2} + 1\) = 2x – 3 is a