MEDIUM
10th Chhattisgarh Board
IMPORTANT
Earn 100

In the given figure, chord AB=18 cm and PQ is perpendicular bisector of chord AB which meets the chord on point M. If MQ=3 cm, then find the radius of the circle in cm?
Question Image

50% studentsanswered this correctly

Important Questions on Circle and Tangents

MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise – 1>Q 5
A circle with centre O and chords PQ, QR such that ∠PQO=∠OQR=55°. Prove that PQ=QR.
MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise – 1>Q 6
AB and AC are two equal chords of a circle with centre O. If OD⊥AB and OE⊥AC, then prove that ∆ADE is isosceles triangle.
HARD
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Try This
Arc of a circle is given (See figure). Complete the circle after finding its centre.
Question Image
EASY
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Think and Discuss
Can we draw a circle which passes through three collinear points?
MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Try This

Chords which are equidistant from the centre of a circle are equal. Prove.

MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise – 2>Q 1
Two chords AB and AC of a circle are equal. Prove that centre of circle lies on the bisector of ∠BAC.
MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise – 2>Q 2
Two parallel chords which are 10 cm and 24 cm long respectively lie on opposite sides of centre of a circle. The distance between chords is 17 cm. Find the diameter of circle.
MEDIUM
10th Chhattisgarh Board
IMPORTANT
Mathematics Class - 10>Chapter 12 - Circle and Tangents>Exercise – 2>Q 3

Centre of a circle is O and PO is the angle bisector of ∠APD (See in the figure). Prove AB=CD.

Question Image