MEDIUM
10th CBSE
IMPORTANT
Earn 100

Prove that the tangents drawn at the ends of a chord of a circle make equal angles with the chord.

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.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 8 - Circles>Exercise 8A>Q 16
In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30° , prove that BA:AT=2:1.
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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.

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Find the length of TP.