A movable parabola touches the `x` and the y-axes at `(1,0)a n d(0,1)` . Then the locus of the focus of the parabola is `2x^2-2x+2y^2-2y+1=0` b. `x^2-2x+2y^2-2y+1=0` c. `2x^2-2x+2y^2+2y+2=0` d. `2x^2-2x-2y^2-2y-2=0`

The focus of the parabola x^2-8x+2y+7=0 is

The focus of the parabola x^(2)-2x-8y-23=0 is

The focus of the parabola y^(2)-x-2y+2=0 is

A parabola having directrix x +y +2 =0 touches a line 2x +y -5 = 0 at (2,1). Then the semi-latus rectum of the parabola, is

The straight lines joining any point P on the parabola y^2=4a x to the vertex and perpendicular from the focus to the tangent at P intersect at Rdot Then the equation of the locus of R is (a) x^2+2y^2-a x=0 (b) 2x^2+y^2-2a x=0 (c) 2x^2+2y^2-a y=0 (d) 2x^2+y^2-2a y=0

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR . a. x^2+y^2+2x-8y-17=0 b. x^2-y^2 +2x-8y+17=0 c. x^2+y^2-2x-8y-17=0 d. x^2-y^2+8x-2y-17=0

The area inside the parabola 5x^2-y=0 but outside the parabola 2x^2-y+9=0 is

A parabola touches the coordinate axes at (25/3, 0) and (0, 25/4) . Equation of directrix of parabola is : (A) x+2y=0 (B) 2x+y=0 (C) 3x+4y=0 (D) 4x+3y=0

The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and x^(2)+y^(2)+4y-1=0 , is

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y