A straight line is drawn through `P(4,5)` to meet the axes of x and y at A and B respectively. If the rectangle` OACB` is completed, then find the locus of `C`?

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the x-axis at point B and D , respectively. If the rectangle A B C D is completed, then the locus of C is (a)y=2a (b) y+2a=c (c)x=2a (d) none of these

The ends A and B of a straight line segment of constant length c slide upon the fixed rectangular axes OX and OY, respectively. If the rectangle OAPB be completed, then the locus of the foot of the perpendicular drawn from P to AB is

A tangent is drawn to the parabola y^2=4a x at P such that it cuts the y-axis at Qdot A line perpendicular to this tangents is drawn through Q which cuts the axis of the parabola at R . If the rectangle P Q R S is completed, then find the locus of Sdot .

A straight line through origin O meets the lines 3y=10-4x and 8x+6y+5=0 at point A and B respectively. Then , O divides the Segment AB in the ratio.

Find the equation of the line which passes through P(1,-7) and meets the axes at A and B respectively so that 4A P-3B P=0.

If the tangent drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at any point P meets the coordinate axes at the points A and B respectively. If the rectangle OACB (O being the origin) is completed, where C lies on (x^2)/(a^2)-(y^2)/(b^2)=lambda . Then, the value of lambda is:

A normal to the hyperbola, 4x^2_9y^2 = 36 meets the co-ordinate axes x and y at A and B. respectively. If the parallelogram OABP (O being the origin) is formed, then the locus of P is :-

Find the equation of the line which passes through P(1,-7) and meets the axes at Aa n dB respectively so that 4A P-3B P=0.

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot