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Question Paper Class IX

 
Mathematics Set 3
 
Max. Marks:75
Ques 1. Factorize : a-b-a3+b3

Ans:
a-b-a3+b3
= (a-b) - (a3-b3)
= (a-b) - (a-b) (a3+ab+b2)
= (a-b) (1-a2-ab-2)


Ques 2.

Ans:


Ques 3. Four times the double of an angle is its supplement. find the angle
Ans:
Let the angle = x°
By the condition
4x2x+x=180°
8x+x=180°
9x°=180°
x=20°

\ The required angle = 20°

Ques 4. In the given Fig DE=3/4 BC, DE ll BC and the distance between DE and BC is 3 units; If BE is 6 units, what is the area of DBCE?
Ans:
Area (DBCE) = 1/2 (DE+BC) x3
= 1/2 [3/4 BC + BC] x 3 (\DE = 3/4 BC)
= 1/2 [3/4 x 6 +6] x 3 [\ BC = 6 units]
= 1/2 [9/2 + 6] x 3
= 1/2 x 21/2 x 3 = 63/4 = 15 3/4 sq units

Ques 5. Find the value of
Ans:

Ques 6. The following flowchart is drawn to find the area of a triangle with the given sides. Complete the boxes number 4 and 5

Ans:


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