The equation of the parabola whose vertex and focus lie on the axis of `x` at distances `a` and `a_1` from the origin, respectively, is `y^2-4(a_1-a)x` `y^2-4(a_1-a)(x-a)` `y^2-4(a_1-a)(x-a)1)` `non eoft h e s e`

The equation of parabola whose vertex and focus lie on the axis of x at distances a and a_1 from the origin respectively, is

The capacitance of the capacitors of plate areas A_1 and A_2(A_1 lt A_2) at a distance d is

The axis of a parabola is along the line y=x and the distance of its vertex and focus from the origin are sqrt(2) and 2sqrt(2), respectively.If vertex and focus both lie in the first quadrant, then the equation of the parabola is (x+y)^(2)=(x-y-2)(x-y)^(2)=4(x+y-2)(x-y)^(2)=4(x+y-2)(x-y)^(2)=4(x+y-2)(x-y)^(2)=8(x+y-2)

If distance of vertex and foci from origin are 'a' and 'a^1' on +x axis of parabola will be y^2=4(a^1-a)(x-a) such that a^1>a.

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is

The average of a_1, a_2, a_3, a_4 is 16. Half of the sum of a_2, a_3, a_4 is 23. What is the value of a_1

If the tangent and the normal to x^2-y^2=4 at a point cut off intercepts a_1,a_2 on the x-axis respectively & b_1,b_2 on the y-axis respectively. Then the value of a_1a_2+b_1b_2 is equal to: