# The points (2, 1) and (-3, -4) are opposite - Quantitative Aptitude

## CAT 2020 - Slot 3 - Quantitative Aptitude - Question 25 - The points (2, 1) and (-3, -4) are opposite

Q. 25: The points (2 , 1) and (-3 , -4) are opposite vertices of a parellelogram. If the other two vertices lie on the line x + 9y + c = 0, then c is

##### 1. 152. 133. 144. 12

25. C.

The line x + 9y + c = 0, forms one of the diagonal of the parallelogram.

The other diagonal connects the points (2, 1) and (-3, -4).

The diagonals of a parellogram bisect each other, hence the line x + 9y + c = 0 should pass hrough the midpoint of the line joining (2, 1) and (-3, -4).

The midpoint of the line joining (2, 1) and (-3, -4) =   = = (-0.5 , -1.5)

Therefore, the line x + 9y + c = 0 passes through (-0.5 , -1.5),

Hence, (-0.5) + 9(-1.5) + c = 0

(-0.5) + 27(-0.5) + c = 0

28 (-0.5) + c = 0

-14 + c = 0

c = 14.

### Past Year Question Paper & Solutions

Counselling Session
By IIM Mentor

#### Go Social with us

Inspiring Education… Assuring Success!!
Ⓒ 2020 – All Rights Are Reserved

Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID
Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID