Practice Test

Q1) Ramesh and Mahesh solve an equation. In solving Ramesh commits a mistake in constant term and finds the roots are 8 and 2. Mahesh commits a mistake in the coefficient of x and find the roots -9 and -1. The correct roots are Show Answer

Q2) The inequality |2 x - 3| < 1 is valid, when x lies in interval Show Answer

Q3) Ramesh and Mahesh solve an equation. In solving Ramesh commits a mistake in constant term and finds the roots 8 and 2. Mehesh commits a mistake in the coefficient of x and finds the roots -9 and -1. The correct roots are Show Answer

Q4) If the sum of the roots of a quadratic equation is 3 and the product is 2, then the equation is Show Answer

Q5) If the roots of a quadratic equation are m + n and m - n, then the quadratic equation will be Show Answer

Q6) What is the value of b : c? Show Answer

Q7) Which one of the following is correct? Show Answer

Q8) Consider the equation
(x - p) (x - 6) + 1 = 0 having integral coefficients. If the equation has integral roots, then what values can p have? Show Answer

Q9) If a, b and c are real numbers, then roots of the equation (x - a) (x - b) + (x - b) (x - c) + (x - c)
(x - a) = 0 are always Show Answer