Shortest distance between the curve `y^(2) = x - 2` and `y = x` is (A) greater than 4 (B) less than 2 (C) greater than 3 (D) greater than 2

A number is greater than 3 but less than 9 also it is greater than 6 but less than 9.

if 0

The value of int_0^1 e^(x^2)dx is (A) less than e (B) greater than 1 (C) less than e but greater than 1 (D) all of these

The value of int_0^1 e^(x^2)dx is (A) less than e (B) greater than 1 (C) less than e but greater than 1 (D) all of these

If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, then for all real values of x, the expression 3b^2x^2+""6b c x""+""2c^2 is (1) greater than 4ab (2) less than 4ab (3) greater than - 4a b (4) less than - 4a b

sin^2theta+cosec^2theta is always (a)greater than 1 (b)less than 1 (c)greater than or equal to 2 (d)equal to 2

If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, then for all real values of x, the expression 3b^2x^2+""6b c x""+""2c^2 is (1) greater than -4ab (2) less than 4ab (3) greater than 4a b (4) less than - 4a b

If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, then for all real values of x, the expression 3b^2x^2+""6b c x""+""2c^2 is (1) greater than 4ab (2) less than 4ab (3) greater than -4a b (4) less than 4a b

If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, then for all real values of x, the expression 3b^2x^2+""6b c x""+""2c^2 is (1) greater than 4ab (2) less than 4ab (3) greater than 4a b (4) less than 4a b