SSC CGL MATHS QUIZ

Question 1:

Find the polar co-ordinate of a point $(\sqrt{3}, 1)$.

$\left(2 \sin 60^{\circ}, 2 \cos 60^{\circ}\right)$

$\left(2 \cos 30^{\circ}, 2 \sin 30^{\circ}\right)$

$\left(2 \sin 30^{\circ}, 2 \cos 30^{\circ}\right)$

None of these

Question 2:

If lines $4 x+3 y=k, 2 x+3 y=12$ and $x+y=$ 5 are concurrent lines find the value of $\mathrm{k}$.

18

20

21

$-18$

Question 3:

Find the point which divides the line segment joining $(4,10)$ and $(2,4)$ in the ratio 4 : 2 internally.

$\left(\frac{8}{3}, 6\right)$

$\left(3, \frac{8}{3}\right)$

$\left(\frac{6}{5}, 3\right)$

$\left(3, \frac{6}{5}\right)$

Question 4:

Find the equation of line which is parallel to $4 x+5 y+111=0$ and passing through (3, 2).

$4 x-5 y=22$

$3 x+y=21$

$4 x+5 y=22$

$3 x-2 y=7$

Question 5:

Find the distance between the points $(7 \mathrm{k}+$ $2,5-3 \mathrm{k})$ and $(-3+7 \mathrm{k},-7-3 \mathrm{k})$

12

13

15

18

Question 6:

Find the distance between the points A( -6 , 8 ) and B (4 , -8).

17.23

21.59

16.14

18.86

Question 7:

If two lines $2 x+3 y=119$ and $4 x+ky=17$ are parallel then find the value of $\mathrm{k}$.

5

7

12

6

Question 8:

If the distance between two points $(0,-5)$ and $(x, 0)$ is 13 unit, then the value of x:

$10$

$\pm 10$

$12$

$\pm 12$

Question 9:

Find the equation of a line whose intercepts are twice of the line $3 x-2 y-12=0$

$3 x-2 y=24$

$2 x-3 y=12$

$2 x-3 y=24$

None of these

Question 10:

The length of the portion of the straight line $8 x+15 y=120$ intercepted between the axes is:

14 units

15 units

16 units

17 units