Question

6.It is being given that the points A(1, 2), B(0,0) and C(a, b) are collinear.Which of the following relations between a and b is true?
(A) a = 2b
(B) 2a = b
(C) a+b=0
(D) a-b=0
7.The value of theta for which sin (44° +theta) = cos 30°, is
(A) 46°
(B) 60°
(C) 16°
(D) 90°
​

Answer 1

Answer: 1. (B) 2a=b

2.(C) 16

Step-by-step explanation:

Answer 2

Question No. 6 : option (B) - 2a = b

Question No. 7 : option (C) - $\theta$ = 16°

Given:

Question No. 6

To find :

Whether the relations between a and b is true ?

Given:

Points A(1, 2), B(0,0) and C(a, b) are collinear.

From the given data :

If A(1, 2), B(0,0) and C(a, b) are collinear. From point A and B, it can be concluded that If x increases 1 unit then y increases 2 unit.That is 1;2

This ratio is continued because it is collinear

Hence  the ratio of a:b is also 1:2

So, 2a = b.

Therefore, option (B) 2a = b is the correct answer.

Question No. 7

To find :

Value of  theta ( $\theta$ ) .

Given :

sin ( 44° + $\theta$ )  = cos 30°

Using the properties of trigonometry,

cos $\theta$ = sin ( 90° - $\theta$ )

sin ( 44° + $\theta$ ) = sin ( 90° - 30° )

sin ( 44° + $\theta$ ) = sin 60°

Removing "sin" from both the sides, we get

44° + $\theta$ = 60°

$\theta$ = 16°

Therefore, the value of $\theta$ is 16°, option (C) is the correct answer..

         

To learn more...

1. Difference between plane trigonometry and spherical trigonometry

brainly.in/question/1971602

2. Formulas of trigonometry class 10

brainly.in/question/5286586