Mathematics Tes...

Let p and q are two statements then p ↔ q is equivalent to

If A and B are square matrices of order 3, then

A line segment has length 63 and direction ratios are 3, –2, 6. If the line makes an obtuse angle with x - axis, the components of the line vector are

The maximum value of f(x) = |x ln x| in x ∈ (0, 1) is

The normal at a point on y² = 4x passes through (5, 0). There are three such normals one of which is the axis. The feet of the three normals from a triangle whose centroid is

The number of positive integral solution of abc = 30 is

The set of values of p for which the roots of the equation 3x² + 2x + p (p – 1) = 0 are of opposite signs, is

A curve ‘c’ has the property that if the tangent at any point ‘P’ on ‘c’ meets the coordinate axis at A and B, then P is the mid point of AB. If the curve passes through the point (1, 1), then the equation of curve is

If f (x) = |(x – 1) (x – 2) (x – 3)|, then number of solutions of the equation f (x – 2) = 2 is/are