Find the value of a and b, given that p || q and r || s.

Find the value of lambda so that the points P ,Q ,R and S on the sides O A ,O B ,OC and A B , respectively, of a regular tetrahedron O A B C are coplanar. It is given that (O P)/(O A)=1/3,(O Q)/(O B)=1/2,(O R)/(O C)=1/3 and (O S)/(A B)=lambdadot (A) lambda=1/2 (B) lambda=-1 (C) lambda=0 (D) for no value of lambda

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

Find the truth values of (a) ~p to (q to p) " " (b) ( p to q) to (p^^q)

Let p,q,r be the altitudes of a triangle with area s and perimeter 2t. Then the value of 1/p+1/q+1/r is

List the sets A,B and C , given that, A cupB={p,q,r,s}, A cupC ={q,r,s,t}, A cap B={q,r}, A cap C={q,s}.

Let p , q , r be the altiudes of triangles with area s and perimeter 2 t . Then the value of (1)/(p)+(1)/(q)+(1)/(r) is _

Find the truth values of (a) (pharr~q) harr(q to p) " " (b) (p to q) vv~(p harr ~q)

Find the truth values of (i) ~ p to q " " (ii) ~ ( p to q)

If pth, qth and rth terms of on AP are a. b and c, then show that a(q - r) + b(r - p) + c(p - q) = 0.