If `p:q=4:1`, `p=a+b` and` q=a-b `then find `a:b`

If P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions from P to Q is

If A and B are events such that P(A)=1/2, P(B)=1/3 and P(A cap B)=1/4 , then find (a) P(A/B) (b) P(B/A)

If P=a^2-b^2+2a b ,\ Q=a^2+4b^2-6a b\ , R=b^2+b ,\ S=a^2-4a b and T=-2a^2+b^2-a b+adot Find P+Q+R+S-Tdot

If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find the value of p/(p-a)+q/(q-b)+r/(r-c)dot

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .

If a + b+ c= p and ab + bc + ca= q , find a^(2) +b^(2) + c^(2)

In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 c m , B O=6c m and P B=9c m . Find A Q . (FIGURE)

If P(-1,5) is hormonic conjugate of Q(-13,9) with respect to A and B. If A=(5,3) then find the length AB

A B C D is a trapezium in which A B D C . P and Q are points on sides A D and B C such that P Q A B . If P D=18 , B Q=35 and Q C=15 , find A D .

If A = {4, 8} and B ={p, q, r}, then A xx B is equal to