Q121.If α and β are the roots of the equation 3x2 + 4x – 3 = 0, then the values of α + β and αβ are respectively:
Correct answer: 4 and 1 3
Q122.To add or subtract a positive number from both sides of any inequality without any change in the equality sign is called the:
Correct answer: Additive Property of Inequality
Q123.For a, b ∈ R; a ≠ 0, b ≠ 0, a > b imply:
Correct answer: 1 1/a b
Q124.If in a general quadratic equation, b = 0, then it is called a:
Correct answer: Pure Quadratic equation
Q125.When x y x y,x,y R,if:
Correct answer: xy ≥ 0
Q126.If a specific x = 2 is substituted variable x in the polynomial such that the value is 0, then x = 2 is said to be:
Correct answer: Zero of the Polynomial
Q127.The expected value or______ of a random variable is the centre of its distribution.
Correct answer: Mean
Q128.If two variables, x and y, are involved in a linear equation, then the equation is:
Correct answer: ax + by = c
Q129.Find the values of λ so that the equations x2 – λx – 21= 0 and x2 – 3λx + 35 = 0 may have one common root.
Correct answer: 4, –4
Q130.The degree of the polynomial obtained by the product (x2 + 4x + 3) (2x2 – 9x + 7) is:
Correct answer: 4
Q131.Find the discriminant of 6x2 + 5x +7 = 0.
Correct answer: –143
Q132.x < 2 equivalent to:
Correct answer: –2 < x < 2
Q133.If x – b is a factor of F(x), then which of the following is TRUE?
Correct answer: F(b) = 0
Q134.3x2 + 11x + k = 0 is an equation with reciprocal roots, what is the value of k?
Correct answer: 3
Q135.If α, β are the roots of the equation 4x2 – 5x+3=0, then find α2 β + αβ2?
Correct answer: 15/16
Q136.What are the roots of equation x3 – 5x2 –2x + 24 = 0?
Correct answer: –2, 3, 4
Q137.Roots of the equation x2 – 9x + 6 = 0 are:
Correct answer: 9 57 2 ±
Q138.According to Cauchy-Schwarz, if x2 + y2 + z2 = 1, then what is the maximum value of x + 2y + 3z =0?
Correct answer: 14
Q139.One real root of the equation x3 + x – 2 = 0 is
Correct answer: 1
Q140.The values of x by solving the trinomial 2x2 +9x–5 are:
Correct answer: 1/2, –5