Draw a line segment AB of length 7 cm. Construct the locus of a point P such that area of triangle PAB is 14 cm².
Solution:
Draw a line segment AB of length 12 cm. Mark M, the mid-point of AB. Draw and describe the locus of a point which is
(i) at a distance of 3 cm from AB.
(ii) at a distance of 5 cm from the point M. Mark the points P, Q, R, S which satisfy both the above conditions. What kind of quadrilateral is PQRS? Compute the area of the quadrilateral PQRS.
Solution:
More Solutions:
- Given below, AB is a diameter of a circle with centre O.
- P is the point of intersection of the chords BC and AQ.
- CP bisects ∠ACB. Prove that DP bisects ∠ADB.
- Given below, chords AB and CD of a circle intersect at E.
- AE and BC intersect each other at point D. If ∠CDE = 90°.
- Calculate the perimeter of the cyclic quadrilateral PQRS.