Mathematics Tes...

The solution of the differential equation

is

For different values of K the straight lines given by the equation (2 + K)x + (1 + K)y = 5 + 7 K are always :-

The line 2x – y + 1 = 0 is tangent to the circle at the point (2, 5) and the centre of the circle lies on x – 2y = 4. The radius of the circle is:-

A line passes through P(–2, 0) intersect y² = 4x at A and B in first quadrant such that harmonic mean (H) of AP & BP satisfies H > 8/√3 then slope of (m) lies always satisfies.

Let A be a point on the line  and B(3, 2, 6) be a point in the space. Then the value of µ for which the vector  is parallel to the plane  is :

Let ƒ : (–10, 10) → R be an even function. If n be the number of values of x for which  then value of n is

Let ,where ƒ(x) is a polynomial of degree less than equal to 2. If leading coefficient of polynomial is a, then the value of 2a + 1 is equal to:

Suppose ƒ(1) = 3, ƒ'(1) = –6, h'(3) = 1. If g(x) = h(x²ƒ(x)) then value of g'(1) is :