If `p:q =3:2` and `q:r=3:4,` then `p:r` is :
(A) `9:8`
(B) `8:9`
(C) `2:5`
(D) `3:1`

If a : b=4:5 and b : c=2:3, then a : c (a) 4:3 (b) 8: 15 (c) 8:9 (d) 5:3

If P:Q = 2:9 and Q :R = 3:7, find P:R.

If p : q=2:5, then (25 p+14 q)/(5p+7q)= (a) 8:5 (b) 5:8 (c) 8:3 (d) 3:8

|(a+1, a+2, a+p), (a+2, a+3, a+q) ,(a+3, a+4, a+r)|=0 , then p, q r are in (A) A P (B) G P (C) H P (D) none of these

Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q_(ij)] and Q=P^5+I_3 then (q_21+q_31)/q_32 is equal to (A) 12 (B) 8 (C) 10 (D) 20

If p = 4,q = 3 and r = -2, find the values of : (3pq+2qr^(2))/(p+q-r)

If p = 4,q = -3 and r = 2, find the value of : p^(3)+q^(3)-r^(3)-3pqr

Let p and q be the position vectors of P and Q respectively with respect to O and |p| = p, |q| = q . The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If vec( OR) and vec(OS) are perpendicular, then (A) 9p^2=4q^2 (B) 4p^2=9q^2 (C) 9p=4q (D) 4p=9q

In Figure, Q R is a common tangent to the given circles touching externally at the point T . The tangent at T meets Q R at P . If P T=3. 8 c m , then the length of Q R (in cm) is (a) 3.8 (b) 7.6 (c) 5.7 (d) 1.9

If p = 3 , q = 2 and r = -1, find the values of (3p^(2)q+5r)/(2pq-3qr)