Maths and Science Classes

Ex 10.4 Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m

Ex 10.4 Q3 and Q4 If two equal chords of circle intersect within circle prove line makes equal angle

Q2 exercise 10.4 If two equal chords of a circle intersect within circle, prove segments of chords

Exercise 10.4 circles Q1 Two circles of radii 5 cm and 3 cm intersect at two points and distance b/w

Perpendiculars from centre of chord, circle passing through three non collinear points.

Chapter 10 Circles:exercise 10.1 class 9th Maths

Introduction of circles:chapter 10 class 9th

Q5ii) ar(DEF) =1/4 ar(ABC) iiii) ar(BDEF) =1/2ar(ABC)

Exercise 9.3 Q5 D,E and F are respectively mid points of BC, CA and AB show BDEF is parallelogram

Exercise 9.3 9th Q3 and Q4 prove that ar of triangles formed by diagonals of parallelogram equal

Ex 9.3 Q2 In a ∆, ABC, E is mid point of median AD. Show that ar(BED) =1/4 ar(ABC)

Exercise 9.3 If E is the point on median AD, show that ar(ABE) =ar (ACE)

Areas of triangles on the same base and b/w same parallels

Ex 9.2 Q5i), ii) Prove area of parallelogram PQRS=ABRS, ar(AXS) =1/2ar(PQRS)

Exercise 9.2 Q4ii) ar(APD) +ar(PBC) =ar(APB) +ar(PCD) where P is a point interior of a parallelogram

Exercise 9.2 Q3 and Q4 i) If P and Q are two points lying on sides DC and AD prove ar(APB) =ar(BQC)

Exercise 9.1 example and Q1 Find side of a parallelogram if altitude and base is given

Prove that area of a triangle is half of area of parallelogram lying on same base &b/w same parallel

Theorem:parallelograms on the same base and b/w same parallels are equal in area.

Exercise 9.1 Areas of parallelogram and Triangles

Q3 and Q7 ABC is a triangle right angled at c. A line through mid point M of hypotenuse AB,parallel

Exercise 8.2 Q2 ABCD is a rhombus and P, Q, R and S are mid points. Show that PQRS is a rectangle

Exercise 8.2 Mid Point theorem Q1 If ABCD is a quadilateral and P, Q, R and S are mid points of side

Exercise-8.1 Q12 part 2 ABCD is a trapezium prove angle c=angle D

Ex 8.1 Q12 part 1) ABCD is a trapezium in which AB parallel CD and AD=BC show that angle A and B

Ex 8.1 Q10 and 11 IF ABCD is a parallelogram and AP and CQ are perpendiculars show ∆APB~∆CDQ, AP=CQ

Exercise -8.1 Q9 In a parallelogram ABCD two points P and Q are taken on diagonal BD s. t. DP=BQ

Q8 Ex -8. 1 ABCD is a rectangle in which diagonal Ac bisects Angle A and C show that ABCD is square

Exercise 8.1 Q7 ABCD is a rhombus. Show that diagonal AC bisects angle A and C also BD bisects

Ex 8.1 Q6 Diagonal AC of a parallelgm ABCD bisect angle A show i) it bisect c alsoii) it is rhombus