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

Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.

If P=(0,1,0) and Q=(0,0,1) then the projection of PQ on the plane x+y+z=3 is

If P(0, 1, 2), Q(4, -2, 1) and R(0, 0, 0) are three points, then anglePRQ is

Plot point P(1, 0), Q (4,0) and S(1, 3) . Find the coordinates of R so that PQRS is a square.

Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3 ) be three points. The equation of the bisector of the angle PQR

Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true ?

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (p-2q)x+(q-2p)y+1=0 (p+q)(x+y)-2=0 (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) none of these

Let x^2-px+q=0, where p in R,q in R have the roots alpha,beta such that alpha+2beta=0 then - (i) 2p^2+q=0 (ii) 2q^2+p=0 (iii) qlt0 (iv) none of these

The value of p and q(p!=0,q!=0) for which p ,q are the roots of the equation x^2+p x+q=0 are (a) p=1,q=-2 (b) p=-1,q=-2 (c) p=-1,q=2 (d) p=1,q=2