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`

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

Answer each question by selecting the proper alternative from those given below each question so as to make each statement true : The common difference of the AP 1/(2q), (1-2q)/(2q),(1-4q)/(2q), ...... is

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

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

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)

Factorise : p^(2)+2p-(q+1)(q-1)

Factorise : p^(2)+2p-(q+1)(q-1)

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)

Let V(r) denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T(r)=V(r+1)-V(r)-2 and Q(r) =T(r+1)-T(r) for r=1,2 Which one of the following is a correct statement? (A) Q_1, Q_2, Q_3………….., are in A.P. with common difference 5 (B) Q_1, Q_2, Q_3………….., are in A.P. with common difference 6 (C) Q_1, Q_2, Q_3………….., are in A.P. with common difference 11 (D) Q_1=Q_2=Q_3