If the curves `ay + x^(2) = 7 and x^(3) = y` cut orthogonally at (1, 1), then find the value a.

If the curves x^(2)=9A(9-y)andx^(2)=A(y+1) intersect orthogonally, then the value of A is

If 4x^(2) +py^(2) = 45 and x ^(2) - 4y^(2) = 5 cut orthogonally , then the value of p is : a) (1)/(9) b) (1)/(3) c)3 d)9

IF the curves x^2/a^2+y^2/12= 1 and y^3=8x intersect at right angle, then the value of a^2 is equal to

If the circles x ^(2) + y ^(2) - 8x - 6y + c= 0 and x ^(2) + y ^(2) - 2y + d =0 cut orthogonally, then c + d equals

The value of k, if the circles 2x ^(2) + 2y ^(2) - 4x + 6y = 3 and x ^(2) + y ^(2) + kx + y =0 cut orthogonally is

The area enclosed between the curves y=ax^(2) and x=ay^(2) (where agt0 ) is 1 sq. units, then value of a is

If the angle between the curves y=2^(x) and y=3^(x) is alpha , then the value of tan alpha is equal to a) (log((3)/(2)))/(1+(log2)(log3)) b) (6)/(7) c) (1)/(7) d) (log(6))/(1+(log2)(log3))