Coordinate Geometry Test

Result

Coordinate Geometry Test - 3

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Rank
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Weekly Quiz Competition

Question 1
1 / -0

To which quadrant does the point (1, -2) belong?

A
Q₁

B
Q₂

C
Q₃

D
Q₄

Solution

As x is positive and y is negative, so (1, – 2) lies in the 4^th quadrant.
Question 2
1 / -0

What would be the equation of one of the sides of an isosceles right-angled triangle, whose hypotenuse is 3x + 4y = 4 and the opposite vertex of the hypotenuse is (2, 2)?

A
x - 7y + 12 = 0

B
7x + y - 12 = 0

C
x - 7y + 16 = 0

D
7x + y + 16 = 0
Question 3
1 / -0

If a, b and c are in A.P, through which fixed point will the straight line ax + 2by + c = 0 always pass?

A
(1, - 2)

B
(- 1, 1)

C
(1, - 1)

D
(- 1, 2)

Solution

As 2b = 2 + C equation of the give is
ax + (a + c)y + c = 0
a (x + y) + c (y + 1) = 0
(x + y) = 0 and y + 1 = 0
Hence (1, - 1)
Question 4
1 / -0

In which quadrant does the point (1, 2) lie?

A
Quadrant I

B
Quadrant II

C
Quadrant III

D
Quadrant IV

Solution

As both x and y are positive, therefore the point lies in the 1^st quadrant.