mathematics ONLINE TEST 0% 12th Maths – Chapter-1 & 3 (Full) Wish you all the Best ! 1 / 13 The equation 4ax² + 3bx + 2x = 0 where a, b, c are real and a + b+ c = has? Two real roots Two imaginary roots One + ve & one – ve 2 – ve roots 2 / 13 Let a > 0, b > 0, c > 0. Then both the roots of the equation ax² + bx + c = 0 are? Rational numbers Real and negative None Real and positive 3 / 13 According to the rational root theorem, which number is not possible rational zero of 4x⁷ + 2x⁴ −10x³ − 5 ? 4 / 5 5 / 4 5 -1 4 / 13 If the roots of the equation x³ + bx² + cx – 1 = 0 form an increasing G.P, then? One of the roots is 2 One of the roots is -1 One of the roots is 1 One of the roots is – 2 5 / 13 A polynomial equation in x of degree n always has? n real roots n complex roots n distinct roots at most one root. 6 / 13 A zero of x³ + 64 is? -4 zero 4i 4 7 / 13 The polynomial x³ − kx² + 9x has three real zeros if and only if, k satisfies? |k| ≥ 6 k = 0 |k| > 6 |k| ≤ 6 8 / 13 If a, b,c ϵ Q p + √q (p,q ϵ Q) is an irrational root of ax² + bx + c = 0 then the other root is? – p – √q p – iq – p + √q p – √q 9 / 13 The polynomial x³ + 2x + 3 has? three real zeros no zeros one positive and two imaginary zeros one negative and two imaginary zeros 10 / 13 If f(x) = 0 has n roots, then f ‘(x) = 0 has ___ roots? n + 1 n -1 n (n – r) 11 / 13 If α, β, γ are the roots of the equation x³ – 3x + 11 = 0, then α+ β + γ is______? zero -11 -3 3 12 / 13 The equation √(x + 1) – √(x – 1) = √(4x – 1) has? One solution More than one solution No solution Two solution 13 / 13 The number of real numbers in [0, 2π] satisfying sin⁴ x − 2sin² x +1 is? ∞ 4 1 2 Your score is 0% Note: Once you start the test, you are not allowed to go back. Results won’t be generated if you quit the test. Complete the test within the given time. Once the time is over, the test will be submitted automatically. You can verify your answers at the result page.
