HARD
10th CBSE
IMPORTANT
Earn 100

If two tangents are drawn to a circle from an external point, show that they subtend equal angles at the centre.

Important Questions on Circles

MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>Exercise 8A>Q 1
A point P is at a distance of 29 cm from the centre of a circle of radius 20 cm. Find the length of the tangent drawn from P to the circle.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 14
Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 15
Prove that the parallelogram circumscribing a circle, is a rhombus.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 16
Two concentric circles are of radii 5 cm and 3 cm respectively. Find the length of the chord in cm of the larger circle which touches the smaller circle.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 17
A quadrilateral is drawn to circumscribe a circle. Prove that the sums of opposite sides are equal.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 18
Prove that the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 19
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the lines segments joining the points of contact at the centre.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>TEST YOURSELF>Q 20

PQ is a chord of length 16 cm of a circle of radius 10 cm. The tangents at P and Q intersect at a point T. as shown in the figure.

Question Image

Find the length of TP.