Coordinate Geometry Test

Result

Coordinate Geometry Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

On which axis does the point (– 3, 0) lie?

A
+ ve X-axis

B
+ ve Y-axis

C
– ve X-axis

D
– ve Y-axis

Solution

The point (– 3, 0) lie on -ve x-axis as value of x is negative and y = 0
Question 2
1 / -0

The points on y- axis at a distance of 13 units from point (-5, 7) are

A
(0, 5), (0, 19)

B
(0, 5), (0, -19)

C
(0, -5), (0, -19)

D
(0, -5), (0, 19)

Solution

Let the required coordinates of point be (0, y).
ATQ

(-5 - 0)² + (7 - y)² = 13²
25 + 49 + y² -14y = 169

y² - 14y - 95 = 0
y² - 19y + 5y - 95 = 0

y(y - 19) + 5(y - 19) = 0
(y - 19) (y + 5) = 0

y = 19 or y = -5

Therefore, required coordinates = (0, 19) or (0, -5)
Question 3
1 / -0

On which axis does the point (0, –1) lie?

A
+ ve X – axis

B
+ ve Y – axis

C
– ve X – axis

D
– ve Y – axis

Solution

The point (0, -1) lie on -ve Y axis as value of y is negative and x = 0
Question 4
1 / -0

If D(2, 1), E(– 1, – 2) and F(3, 3) are the mid-points of sides BC, CA and AB of triangle ABC, the equation of AB is

A
x + y = 6

B
3x + y = 12

C
x + y = 0

D
x – y = 0

Solution

As the slope of AB is equal to the slope of DE, i.e. 1.

Hence, the equation of line AB is x = y

⇒ x – y = 0