Coordinate Geometry MCQs for Competitive Examination
Solve the following problems.
Q. 41
What is the equation of the line which passes through the points (2, 3) and (-4, 1)?
(A) x – 3y = -7
(B) x + 3y = 7
(C) x – 3y = 7
(D) x + 3y = -7
Answer: (A) x – 3y = – 7
Explanation:
Q. 42
What is the equation of the line if its slope is 1/4 and y-intercept is -3?
(A) x – 4y = 12
(B) x + 4y = 12
(C) x – 4y = -12
(D) x + 4y = -12
Answer: (A) x – 4y = 12
Explanation:
Q. 43
The line passing through (4, 3) and (y, 0) is parallel to the line passing through (1, 2) and (3, 0). Find y?
(A) 1
(B) 2
(C) -2
(D) 4
Answer: (A) 1
Explanation:
Q. 44
The coordinates of the centroid of a triangle ABC are (-1, -2) what are the coordinates of vertex C, if co-ordinates of A and B are (6, -4) and (-2, 2) respectively?
(A) (-7, -4)
(B) (7, 4)
(C) (7, -4)
(D) (-7, 4)
Answer: (A) (-7, -4)
Explanation:
Q. 45
A point in the 4th quadrant is 6 units away from x-axis and 7 units away from y-axis. The point is at
(A) (7, −6)
(B) (−7, 6)
(C) (−6, −7)
(D) (−6, 7)
Answer: (A) (7, −6)
Explanation:
Q. 46
Equation of the straight line parallel to x-axis and also 3 units below x-axis is
(A)x = −3
(B) y = 3
(C) y = −3
(D) x = 3
Answer: (C) y = – 3
Explanation:
Q. 47
The straight line 2x + 3y = 12 passes through
(A) 1st, 2nd and 3rd quadrant
(B) 1st, 2nd and 4th quadrant
(C) 2nd, 3rd and 4th quadrant
(D) 1st, 3rd and 4th quadrant
Answer: (B) 1st, 2nd and 4th quadrant
Explanation:
Q. 48
If a linear equation is of the form x = k where k is a constant, then the graph of the equation will be
(A) A line parallel to x-axis
(B) A line cutting both the axes
(C) A line making positive acute angle with x-axis
(D) A line parallel to y-axis
Answer: (D) A line parallel to y-axis
Explanation:
Q. 49
The graph of the equation 2x − 3y = 6 intersects the y-axis at the point
(A) (−2, 0)
(B) (0, −2)
(C) (2, 3)
(D) (2, −3)
Answer: (B) (0, – 2)
Explanation:
Q. 50
The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is
(A) 1/2
(B) 2
(C) 3/2
(D) -1/2
Answer: (C) 3/2
Explanation:
Q. 51
If the centroid of a triangle formed by (7, x), (y, –6) and (9, 10) is (6, 3), then the values of x and y are respectively.
(A) 5, 2
(B) 2, 5
(C) 1, 0
(D) 0, 0
Answer: (A) 5, 2
Explanation: