Mathematics Tes...

If statement (P →q) → (q →r) is false, then truth values of statements p,q and r respectively can be

A mirror and a source of light are situated at the origin O and at a point on OX respectively. A ray of light from the source strikes the mirror and is reflected. If the direction ratios of the normal to the plane are proportional to 1, –1, 1 then direction cosines of the reflected ray are

Find the differential equation of the family of ellipse such that its centre is on the origin

If  then range of f(x) is -

The eccentricity of an ellipse with its centre at the origin is 1/2. If one of the directrix is x = 4, then the equation of the ellipse is

The greatest value of λ ≥ 0 for which both the equations 2x² + ( λ − 1)x + 8 = 0 and x² − 8x + λ + 4 = 0 have real roots is

The number of pairs of solution of the system of equations x+y=2π/3, cosx+cosy=3/2 where x and y are real is

The mean of n terms is  If first term is increased by 1, second term by 2, and so on, then new mean is

The points of contact of the tangents drawn from the origin to the curve y = sin x lie on the curve