Exercise-4
Embibe Experts Mathematics Solutions for Exercise-4
Simple step-by-step solutions to Exercise-4 questions of Circle from Alpha 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
is a point in the first quadrant. If the two circles which pass through and touch both the co-ordinate axes cut at right angles, then find the condition in and .
Show that if one of the circle and lies within the other, then and are both positive.
Let is a rectangle. The incircle of touches at . Incircle of toches at . If units, and units, then find the length of .
Let circles and of radii and respectively touches each other externally. Circle of radius touches and externally and also their direct common tangent. Prove that the triangle formed by joining centre of and is obtuse angled triangle.
Circles are drawn passing through the origin to intersect the coordinate axes at points such that is a constant. Show that the circles pass through a fixed point
The curves whose equations are
intersect in four concyclic points then find relation in
A circle of constant radius passes through the origin and cuts the axes of coordinates in points and , then find the equation of the locus of the foot of the perpendicular from to .
The ends of a fixed straight line of length and ends and of another fixed straight line of length slide upon the -axis and -axis (one end on axis of and the other on axis of ). Find the locus of the centre of the circle passing through and