class 9th exercise 7.1 – Triangles (Class 9) Exercise 7.1 Solutions (Class 9) Triangles 1. In quadrilateral ACBD, AC = AD and AB bisects ∠A. Show that ΔABC ≅ ΔABD. What can you say about BC and BD? Proof: In ΔABC and ΔABD: • AC = AD (Given) • ∠CAB = ∠DAB (AB bisects ∠A) … Read more
quadrilateral class 9 extra questions(R.D. Sharma Level – Class 9) Extra Practice Questions Quadrilaterals (R.D. Sharma Level – Class 9) 1. The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Let the angles be 3x, 5x, 9x, and 13x. The sum … Read more
exercise 8.1 class 9th – Quadrilaterals (Class 9) Exercise 8.1 Solutions (Class 9) Quadrilaterals 1. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Given: A parallelogram ABCD where diagonal AC = diagonal BD. To Prove: ABCD is a rectangle. Proof: Consider ΔABC and ΔDCB. • AB = DC … Read more
Extra Questions on Circles (R.D. Sharma Level – Class 9) Extra Practice Questions Circles (R.D. Sharma Level – Class 9) 1. In a circle of radius 10 cm, AB and CD are two parallel chords of lengths 16 cm and 12 cm respectively. Calculate the distance between the chords if they are on opposite sides … Read more
exercise 9.3 class 9 – Circles (Class 9) Exercise 9.3 Solutions (Class 9) Circles 1. In Fig. 9.23, A, B and C are three points on a circle with centre O such that ∠BOC = 30° and ∠AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC. … Read more
Solutions for Exercise 9.2 – Circles (Class 9) Exercise 9.2 Solutions (Class 9) Circles 1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord. Let the centres be O and O’, and the intersection points … Read more
class 9th maths chapter 9 exercise 9.1 – Circles (Class 9) Exercise 9.1 Solutions (Class 9) Circles 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. Given: Two congruent circles with centres O and O’. They have equal … Read more
heron’s formula class 9 extra questions(R.D. Sharma Level – Class 9) Extra Practice Questions Heron’s Formula (R.D. Sharma Level – Class 9) 1. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3:2. Find the area of the triangle. Let the equal sides be 3x … Read more
Exercise 10.1 class 9th – Heron’s Formula (Class 9) Exercise 10.1 Solutions (Class 9) Heron’s Formula 1. A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal … Read more
surface area and volume class 9 extra questions (R.D. Sharma Level – Class 9) Extra Practice Questions Surface Areas and Volumes (R.D. Sharma Level – Class 9) 1. The curved surface area of a right circular cone is 12320 cm². If the radius of its base is 56 cm, find its height. (Use π = … Read more