EXERCISE-4
Embibe Experts Mathematics Solutions for EXERCISE-4
Simple step-by-step solutions to EXERCISE-4 questions of Circle from Beta Question Bank for Engineering: Mathematics. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.
Questions from EXERCISE-4 with Hints & Solutions
Show that the equation of a straight line meeting the circle in two points at equal distance '' from a point on its circumference is .
Through a fixed point secants are drawn to the circle . Show that the locus of the mid-points of the secants intercepted by the circle is
Consider a curve and a point not on the curve. A line is drawn from the point intersects the curve at points . If the product is independent of the slope of the line, then show that the curve is a circle.
Find the equation of a circle which is co-axial with circles . It is given that the centre of the circle to be determined lies on the axis of these two circles.
If , then find the equation of the circle for which is a tangent.
Find the equation of the circles passing through the point and touching the lines and and having -coordinate of the centre of the circle less than or equal to .
is a variable point on the circle with centre at are perpendiculars from on -axis & -axis respectively. Show that the locus of the centroid of the triangle is a circle with centre at the centroid of the triangle & radius equal to one third of the radius of the given circle.
Prove that the length of the common chord of the two circles and is , where .