Question 24 Draw a line segment AB of length 9cm. With A and B as centres, draw circles of radius 5 cm and 3 cm respectively. Construct tangents to each circle from the centre of the other circle
Steps of construction
Draw line segment AB of length 9 cm
Taking A as center, draw a circle of radius 5 cm
Taking B as center, draw a circle of radius 3 cm
Now, we need to draw tangent from point A to the right circle,
and from point B to the left circle.
To draw tangents to the right circle, we need to draw perpendicular bisector of line AB
Make perpendicular bisector of AB
Let M be the midpoint of AB.
Taking M as center and MA as radius,
draw a circle.
6. Let blue circle intersect left circle at P, Q
Let blue circle intersect right circle at R, S
Join BP, BQ, AR and AS
∴ AR, AS and BP, BQ are the required tangents
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard