For `alpha=pi//` which of the following hold (s) good?

For alpha=pi/7 which of the following hold (s) good?

Let alpha,betaa n dgamma be some angles in the first quadrant satisfying tan(alpha+beta)=(15)/8a n dcos e cgamma=(17)/8, then which of the following hold(s) good? (a) alpha+beta+gamma=pi (b) cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma (c) tanalpha+tanbeta+tangamma=tanalphatanbetatangamma (d) tanalphatanbeta+tanbetatangamma+tangammatanalpha=1

The locus of the point of intersection of those normals to the parabola x^2 = 8y which are at right angles to each other, is a parabola. Which of the following hold (s) good in respect of the loucus ?

A function f is defined by f(x)=int_0^pi costcos(x-t)dt, 0lexle2pi . Which of the following hold(s) good? (A) f(x) is continuous but not differentiable in (0,2pi) (B) There exists at least one c in (0,2pi) such that f\'(c)=0 (C) Maximum value of f is pi/2 (D) Minimum value of f is -pi/2

A function f is defined by f(x) = int_0^pi cos t cos(x-t)dt,0 <= x <= 2 pi then which of the following.hold(s) good?

Consider two circles S, =x^2+y^2 +8x=0 and S_2=x^2+y^2-2x=0 . Let DeltaPOR be formed by the common tangents to circles S_1 and S_2 , Then which of the following hold(s) good?

If b+c+,c+a,a+b are in H.P. then which of the following hold(s) good ?

a, b, c are the first three terms of geometric series. If the H.M. of a and b is 12 and that of b and c is 36 then which of the following hold(s) good?

Let alpha = 3 cos^(-1) (5/sqrt28) + 3 tan^(-1) ( sqrt3/2) " and " beta = 4 sin ^(-1) ((7sqrt2)/10) - 4 tan^(-1) (3/4) , then which of the following does not hold (s) good ?

Let f : R ->R defined by f(x) = min(|x|, 1-|x|) , then which of the following hold(s) good ?