CAT 2025 Lesson : Trigonometry & Coordinate - Past Questions

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The Points (

2,1

) and (

-3,-4

) are opposite vertices of a parallelogram. If the other two vertices lie on the line

x + 9y + c = 0

, then

c

is
[CAT 2020 Shift 3]

(1) 12 (2) 15 (3) 13 (4) 14

Let P be the point of intersection of the lines

3x + 4y = 2a

and

7x + 2y = 2018

and Q the point of intersection of the lines

3x + 4y = 2018

and

5x + 3y = 1

If the line through P and Q has slope

2

, the value of

a

is:
[XAT 2019]

(1) 4035 (2)

\dfrac{1}{2}

(3) 3026 (4) 1 (5) 1009

The vertices of a triangle are

(0,0), (4,0)

, and

(3,9)

. The area of the circle passing through these three points is
[CAT 2020 Shift 3]

(1)

\dfrac{123π}{7}

(2)

\dfrac{14π}{3}

(3)

\dfrac{205π}{9}

(4)

\dfrac{12π}{5}

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