In triangle ABC, points D and E are on AB and AC respectively such that DE is parallel to BC. If AD = 6 cm, DB = 4 cm, AE = 9 cm, then the length of EC (in cm) is

PQ is a chord in the minor segment of a circle and R is a point on the minor arc PQ. The tangents at the points P and Q meet at the point T. If ∠PRQ =102°, then the measure of ∠PTQ is :

In △ABC, AB = AC = 12 cm, BC = 5 cm and D is a point on AC such that DB = BC. What is the measure of CD?

Which of the following statements is wrong ?

In the following table two columns are given. Match column A with column B.

How many lines of symmetry does the figure have?

Some statements are given about lines of symmetry.

(a) Equilateral triangle has 3 lines of symmetry.

(b) Circle has 2 lines of symmetry.

(c) An isosceles triangle has two lines of symmetry.

(d) A rectangle has two lines of symmetry.

(e) Letter A has one line of symmetry.

Which of the following option correctly describes all the above?

Which of the following statements is false?

The length of each of two tangents drawn from an external point to a circle is 10 cm. What is the approximate distance from the external point to the center of the circle, if the radius is 6 cm?

In a quadrilateral ABCD, a line segment BD is a diagonal such that AB=CD and ∠ABD=∠CDB. Are the triangles ABD and CDB congruent? If so, by what rule?

A circle is inscribed in a right triangle with legs of length 5 and 12. What is the radius of the circle?