CBSE Guess > Papers > Important Questions > Class X > Maths > Mathematics By Mr. Sanjay Kumar

Chapter - 11

Q. 116. Construct the circumcircle of a right-triangle whose two smaller sides are 4 cm and 5 cm. Also measure the length of the third side of the triangle and the radius of the circumcircle.

Q. 117. Construct a pair of tangents to a circle of radius 6 cm which are inclined at right angles to each other.

Q. 118. Construct an isosceles triangle whose base and the altitude are in the ratio 2:1 and the sum of them is 12 cm. Draw its incircle and measure its radius.

Q. 119. Construct a right-triangle whose larger side is 13 cm and one of the smaller sides is 5 cm. Also draw its circumcircle and measure the length of the third side and the radius of the circumcircle.

Q. 120. Construct a triangle ABC in which AC = 6 cm, angle B = 30⁰ and altitude BD = 5cm.

Q. 121. Construct a cyclic quadrilateral ABCD in which AC = 6 cm, BC = 4 cm, CD = 3.5 cm and angle B is right angle.

Q. 122. Construct a triangle whose base is 6 cm, vertical angle 60⁰ and median through the vertex is 4 cm.

Q. 123. Construct a quadrilateral ABCD with AB = 3 cm, AD = 2.7 cm, BD = 3.6 cm, angle B = 110⁰ and BC = 4.2 cm. Also construct another quadrilateral A´BC´D´ similar to quadrilateral ABCD so that the diagonal BD´ = 4.8 cm.

Q. 124. Construct a rectangle whose two adjacent sides are 6cm and 4cm. Also draw a circle passing through all its verticies. Also draw its diagonals and measure their lengths.

Q. 125. Construct a triangle ABC similar to a given triangle with sides 6 cm, 7 cm and 8 cm and whose sides are 1.2 times the corresponding sides of the given triangle.