(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Coordinate Geometry (MCQ -19)

1. Find the value of k, if the distance between the points (1, 4), (k, 1) is 5.
(a) 3 or 5
(b) –3 or 5
(c) 3 or –5
(d) None of these

2. The points whose coordinates are (2, 2), (6, 3),(4, 11) forms
(a) a isosceles triangle
(b) a right angle
(c) scalene triangle
(d) an equilateral

3. The following points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) taken in order form a
(a) rectangle
(b) parallelogram
(c) square
(d) None of these

4. The following points (3a, 0), (0, 3b), (a, 2b) forms a
(a) straight line
(b) triangle
(c) equilateral triangle
(d) None of these

5. The points A(–1, 4), B(5, 2) are the vertices of a triangle of which C(0,–3) is centroid, then the third vertex C is
(a) 4, 15
(b) 4, –15
(c) –4, –15
(d) None of these

6. Acute angle between the lines with slopes3/4 and 1/7 is
(a) 60°
(b) 45°
(c) 30°
(d) None of these

7. The equation of a straight line whose inclinations
is 60° and y–intercept is –2 is
(a) y = - Ö3x - 2 (b) y = Öx - 2
(c) y =x/2-2
(d) None of these

8. The equation of a straight line passing through (6, –3) and (4,–3) is
(a) x = 6
(b) x = 4
(c) y + 3 = 0
(d) None of these

9. The equation of the image of the line x + 2 = 0 with respect to x = 0 is
(a) y = 0
(b) x = 0
(c) x = –2
(d) None of these

10. The points (4, – 5), (1, 1), (–2, 7) are
(a) collinear
(b) non-collinear
(c) vertices of a triangle
(d) None of these

11. Find the intercepts made by the line 2x – 3y + 6 = 0 with the coordinate axes.
(a) 3, 2
(b) –3, 2
(c) –3, –2
(d) None of these

12. The equation of the line whose intercept on the axes are 4 and 3 is
(a) 3x – 4y =10
(b) 3x + 4y =12
(c) –3x + 4y = 5
(d) None of these

13. Find the equation of the line which cuts off equal and positive intercepts on the axes and their sum is 12.
(a) x – y = 12
(b) x + y = 6
(c) x – y = 6
(d) None of these

14. The equation of the line passing through (1, 2) and parallel to 3x + 4y + 7 = 0.
(a) 3x – 4y = 11
(b) 3x + 4y =11
(c) 3x + 4y = 0
(d) None of these

15. The equation of the straight line parallel to ax + by + c = 0 and passing through the origin is
(a) ax – by = 0
(b) –bx + ay = 0
(c) ax + by = 0
(d) None of these

16. The equation of a straight line passing through (1, 2) and perpendicular to the line 3x + 4y = 7 is
(a) 4x – 3y + 2 = 0
(b) 3x + 4y = 7
(c) 4x – 3y + 7 = 0
(d) None of these

17. The point of intersection of the line x + y + 1 = 0 and 2x – y + 5 = 0 is
(a) (–1, 1)
(b) (–2, 1)
(c) (1, 2)
(d) (1, –2)

18. The equation of the line passing through the point of intersection of the lines 5x – 2y = 3, 4x – 7y + 3 = 0 and parallel to the lines 3x – 2y + 5 = 0
(a) 3x – 2y = 0
(b) 3x – 2y =1
(c) 3x – 2y = 5
(d) None of these

20. The equation of a line parallel to 3x – 2y + 1 = 0 and passing through the origin is
(a) 3x – 2y = 0
(b) 3x – 2y = 5
(c) 3x – 2y = 1
(d) None of these

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