June 2020

Class 9 – Mathematics Circles – Exercise 10.4 Exercise 10.4 Question : 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…

Class 9 – Mathematics Circles – Exercise 10.3 Exercise 10.3 Question : 1 : Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? Answer : No common…

Class 9 – Mathematics Circles – Exercise 10.2 Exercise 10.2 Question :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. Answer :…

Class 9 – Mathematics Circles – Exercise 10.1 Exercise 10.1 Question : Fill in the blanks: (i) The centre of a circle lies in_______ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle…

Class 9 – Mathematics Areas of Parallelograms and Triangles – Exercise 9.4 Exercise 9.4 Question : Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater…

Class 9 – Mathematics – Exercise Exercise 9.3 Question : 1 : In the given figure, E is any point on median AD of a ∆ABC. Show that: ar (ABE) = ar (ACE) Answer : AD is the median of…

Class 9 – Mathematics Areas of Parallelograms and Triangles – Exercise 9.2 Exercise 9.2 Question : 1 : In the figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8…

Class 9 – Mathematics Areas of Parallelograms and Triangles – Exercise 9.1 Exercise 9.1 Question :1 : Which of the following figures lie on the same base and between the same parallels? In such a case, write the common base…

Class 9 – Mathematics Quadrilaterals – Exercise 8.1 Exercise 8.1 Question : 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Answer : Let the common ratio between the…

Class 9 – Mathematics Triangles – Exercise 7.5 Exercise 7.5 Question : 1 : ABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from all the vertices of Δ ABC. Answer : Given,…

Class 9 – Mathematics Triangles – Exercise 7.4 Exercise 7.4 Question : Show that in a right angled triangle, the hypotenuse is the longest side. Answer :   Let us consider ΔABC such that ∠B = 900 So, ∠A +…

Class 9 – Mathematics Triangles – Exercise 7.3 Exercise 7.3 Question : 1 : Δ ABC and Δ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see…