Point `P(p ,0),Q(q ,0),R(0, p),S(0,q)` from parallelogram rhombus cyclic quadrilateral (d) none of these

Consider the points P(p,0,0),Q(0,q,0) and R(0,0,r) where pqr!=0 then the equation of the plane PQR is (A) px+qy+r=1 (B) x/p+y/q+z/r=1 (C) x+y+z+1/p+1/q+1/r=0 (D) none of these

If the points (0,0),(2,2sqrt(3)), and (p,q) are the verticesof an equilateral triangle,then (p,q) is

The points (p,q +r) , (q, r+p) and (r, q+p) are "_______" .

Four charges +q,+q-q, and -q are placed on X - Y plane at the points whose coordinates are (0.5, 0), (0, 0.5), (-0.5, 0) and (0, -0.5) respectively. The electric field due to these charges at a point P(r,r), where r gtgt 0. 5 , will be

If p>1 and q>1 are such that log(p+q)=log p+log q ,then the value of log(p-1)+log(q-1) is equal to (a)0(b)1 (c) 2(d) none of these

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR B A C D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

If the numbers p,q,r are in A.P. then m^(7p), m^(7q), m^(7r)(mgt0) are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If |(p,-q,0),(0,p,q),(q,0,p)|=0 , then which one of the following is correct ?