A mixture is to be made of three foods `A ,\ B ,\ C` . The three foods `A ,\ B ,\ C` contain nutrients `P ,\ Q ,\ R` as shown below: Ounces per pound of Nutrient `[[Food, P, Q, R],[ A, 1, 2, 5], [B, 3,1, 1], [C, 4, 2, 1]]` How to form a mixture which will have 8 ounces of `P` , 5 ounces of `Q` and 7 ounces of `R` ?

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

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

A mixture contains 1 mole of helium (c_p = 2.5 R, C_v 1.5 R. ) and 1mole of hydrogen (C_p = 3.5 R, C_v = 2.5 R, ) . Calculate the values of C_p , C_v and gamma for the mixture.

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs 60 / kg and Food Q costs Rs 80 / kg. Food P contains 3 units/kg of Vitamin A and 5 units / kg of Vitamin B while food Q contains 4 units "kg of Vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.

A mixture contains 1 mole of helium (C_p = 2.5 R, C_v= 1.5 R. ) and 1 mole of hydrogen (C_p = 3.5 R, C_v = 2.5 R, ) . Calculate the values of C_p , C_v and gamma for the mixture.

The sum of the first p , q , r terms of an A.P. are a , b , c respectively. Show that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

The sum of the first p , q , r terms of an A.P. are a , b , c respectively. Show that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

The sum of the first p , q , r terms of an A.P. are a , b , c respectively. Show that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

|(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

Given that P(3,1),Q(6. 5), and R(x , y) are three points such that the angle P R Q is a right angle and the area of R Q P is 7, find the number of such points Rdot