Question

1. Verify the points P( - 2, 2 ) , Q ( 2, 2 ) and R ( 2, 7 ) are vertices of a right

angled triangle.

2. A ( 7, 6 ), B ( 2 , 3 ) and C ( - 6 , k ) are the coordinates of vertices of a

triangle whose centroid is G ( 1, 5 ). Find the value of k.

3. Find the point on the X – axis which is equidistant from A (- 3, 4 ) and

B ( 1, - 4 ).

4. Find the ratio in which point P ( k, 7 ) divides the segment joining

A ( 8 , 9 ) and B ( 1 , 2 ).

5. In triangle ABC, G ( - 4 , - 7 ) is the centroid. If A ( - 14 , - 19 ) and

B ( 3, 5 ) then find the coordinates of C.

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ASSIGNMENT – 5

1. Prove that 1

1+sin

+

1

1−sin

= 2 sec2 .

2. In ∆ ABC, ∠ B = 90° and , ∠ C = , (i) find sec and sec2 .

(ii) find tan and tan2 .

3. If tan =

12

5

then find the value of 1+sin

1−sin

.

4. What is the value of sin2 + cos2 .

5. Find the value of 6 tan2 -

6

cos2

.​

Answer 1

Answer:

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