If `(7x+4y) : (7x-4y) ::(7p+4q):(7p-4q)`, there show that x , y, p and q are in proportion.

If (7x-5y):(3x+4y) = 7:11 then show that (3x-2y): (3x+4y) = 137 : 473

If x^p . y^q = (x + y)^(p + q) , show that (dy)/(dx) = y/x

If x^p.y^q=(x+y)^(p+q) , show that dy/dx=y/x ;

If x^(p)y^(q)=(x+y)^(p+q) , show that dy/dx=y/x .

If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are on opposite sides of the line 3x-4y=8 , then :

In P=(5x+2y)/(3x-4y) , if x=5 and P=7, the y=?

If x=(p+q)/(p-q) and y=(p-q)/(p+q) then the value of (x-y)/(x+y) is

Evaluate 7px^(2)-(-4qy^(2)) , given that p = -2, q = 1, x = 3 and y = -4.

If p : q = 5 : 7 " and " p - q = - 4 , then find the value of (3p + 4q) .

If P (x,y) and Q (1,4) are the points on the circle whose centre is :C(5,7) and radius is 5 cm, then find the locus of P.