If one of varying central conic (hyperbola) is fixed in magnitude and position, prove that the locus of the point of contact of a tangent drawn to it from a fixed point on the other axis is a parabola.
Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.
If two tangents are drawn to a circle from a point outside it, then the line segment joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.
Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.
A uniform solid sphere is released from the top of a fixed inclined plane of inclination 30^(@) and height h. It rolls without sliding. The speed of the point of contact of the sphere with the inclined plane when the sphere reaches the bottom of the incline is
A wheel rolls on a horizontal path with uniform velocity. Prove that the velocity of any point on the circumference of the wheel with respect to its centre is equal to the velocity of the wheel. What will be the instantaneous velocity of the point on the wheel which touches the ground?
If two tangents are drawn to a circle from a point outside it, them the line segments joining the point of contacts and the exterior point are equal.
Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contacts and the exterior point are equal.
NCERT BANGLISH-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISES (TRUE OR FALSE)
