Two straight lines rotate about two fixed points `(-a,0)` and `(a,0)` in anticlockwise sense. If they start from their position of coincidence such that one rotates at a rate double the other, then find the locus of curve.

Two straight lines rotate about two fixed points (-a, 0) and (a, 0) in antic clockwise direction. If they start from their position of coincidence such that one rotates at a rate double of the other, then locus of curve is

Two rods are rotating about two fixed points in opposite directions. If they start from their position of coincidence and one rotates at the rate double that of the other, then find the locus of point of the intersection of the two rods.

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

A (c,0) and B (-c,0) are two points . If P is a point such that PA + PB = 2a where 0 lt c lt a, then find the locus of P.

The difference of the distances of variable point from two given points (3,0) and (-3,0) is 4. Find the locus of the point.

A (a,0) , B (-a,0) are two points . If a point P moves such that anglePAB - anglePBA = pi//2 then find the locus of P.

A(a,0) , B(-a,0) are two point . If a point P moves such that anglePAB - anglePBA = 2alpha then find the locus of P .

Two points P(a,0) and Q(-a,0) are given. R is a variable point on one side of the line P Q such that /_R P Q-/_R Q P is a positive constant 2alphadot Find the locus of the point Rdot

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is