`(1/2p q-3/2q)xx(p q-q)`

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (p-2q)x+(q-2p)y+1=0 (p+q)(x+y)-2=0 (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) none of these

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (p-2q)x+(q-2p)y+1=0 (p+q)(x+y)-2=0 (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) none of these

If p and q are non-collinear unit vectors and | p+q| = sqrt(3) , then (2p - 3q) . (3p + q) is equal to

Sum the following infinite series (p-q) (p+q) + (1)/(2!) (p-q)(p+q) (p^(2) + q^(2))+(1)/(3!) (p-q) (p+q) (p^(4)+q^(4)+p^(2) q^(2)) + ...oo

Sum the following infinite series (p-q) (p+q) + (1)/(2!) (p-q)(p+q) (p^(2) + q^(2))+(1)/(3!) (p-q) (p+q) (p^(4)+q^(4)+p^(2) q^(2)) + ...oo

{:(2x + 3y = 9),((p + q)x + (2p - q)y = 3(p + q+ 1)):}

int (px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1) dx is equal to (1) -x^p/(x^(p+q)+1)+C (2) x^q/(x^(p+q)+1)+C (3) -x^q/(x^(p+q)+1)+C (4) x^p/(x^(p+q)+1)+C

If ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p^a q^b , then the value of a+b where p and q are different positive primes is- यदि ((p^-1 q^2)/(p^3 q^-2))^(1/3) div ((p^6 q^-3)/(p^-2 q^3))^(1/3) =p^a q^b है, तो a+b का मान क्या है जिसमें p और q विभिन्न धनात्मक अभाज्य है?

int(px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1)dx

Simplify ((q^(3-7)q xx q^(6-2q))/(q^(2q)xx q^(9-2q)))^((1)/(9))