The common difference of the A.P. is `1/(2q),(1-2q)/(2q),(1-4q)/(2q),\ dot` is `-1` (b) `1` (c) `q` (d) `2q`

if |x|<1 then d(dx)[1+(p)/(q)x+(p(p+q))/(2!)((x)/(q))^(2)+

If difference of roots of the equation x^(2)-px+q=0 is 1, then p^(2)+4q^(2) equals-

If p,q,r are in A.P the p^(2)(q+r),q^(2)(r+p),r^(2)(p+q) are in

4q^(3)-6q^(2)-4q+3;2q-1

Show that the sequence (p + q)^(2), (p^(2) + q^(2)), (p-q)^(2) … is an A.P.

The roots of the equation (q-r)x^2+(r-p)x+p-q=0 are (A) (r-p)/(q-r),1 (B) (p-q)/(q-r),1 (C) (q-r)/(p-q),1 (D) (r-p)/(p-q),1

A charge q_(1) is placed at the centre of a spherical conducting shell of radius "R" .Conducting shell has a total charge q_(2) .Electrostatic potential energy of the system is (A) (q_(1)^(2)+2q_(1)q_(2))/(8 pi varepsilon_(0)R) (B) (q_(2)^(2)+2q_(1)q_(2))/(8 pi varepsilon_(0)R) (C) (q_(1)^(2)+q_(1)q_(2))/(8 pi varepsilon_(0)R) (D) (q_(2)^(2)+q_(1)q_(2))/(8 pi varepsilon_(0)R)

If cos ec theta-cot theta=q, then the value of cos ec theta is (a)q=(1)/(q)(b)q-(1)/(q)(1)/(2)(q+(1)/(q)) (do none of these

If p ,q be two A.M. ' s and G be one G.M. between two numbers, then G^2= a)(2p-q)(p-2q) (b) (2p-q)(2q-p) c)(2p-q)(p+2q) (d) none of these

If the difference of the roots of x^(2)-px+q=0 is unity,then p^(2)+4q=1b .p^(2)-4q=1c*p^(2)+4q^(2)=(1+2q)^(2)d4p^(2)+q^(2)=(1+2p)^(2)