MCQ Questions on Coordinate Geometry for Competitive Exams Page-5 section-1

41.
Point P(-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

A. 1

B. -1

C. 2

D. -2

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42.
In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

A. 1 : 2

B. 1 : 1

C. 3 : 1

D. 2 : 3

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43.
The equations 3x + 4y = 10 and -x + 2y = 0, have the solution (a, b). The value of a + b is:

A. 1

B. 2

C. 3

D. 4

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44.
Find equation of the perpendicular to segment joining the points A(0, 4) and B(-5, 9) and passing through the point P. Point P divides segment AB in the ratio 2 : 3.

A. x - y = 8

B. x - y = -8

C. x + y = -8

D. x + y = 8

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45.
What is the equation of the line passing through the point (-1, 3) and having x-intercept of 4 units?

A. 3x - 5y = 12

B. 3x + 5y = 12

C. 3x + 5y = -12

D. 3x - 5y = -12

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46.
ABCD is a parallelogram. Co-ordinates of A, B and C are (5, 0), (-2, 3) and (-1, 4) respectively. What will be the equation of line AD?

A. y = 2x - 5

B. y = x + 5

C. y = 2x + 5

D. y = x - 5

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47.
If ax - 4y = -6 has a slope of $$ - \frac{3}{2}.$$ What is the value of a?

A. 6

B. 3

C. -6

D. -3

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48.
What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?

A. 3

B. 2

C. 5

D. 6

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49.
What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)?

A. -3

B. 3

C. $$ - \frac{1}{3}$$

D. $$\frac{1}{3}$$

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50.
For what value of m will the system of equations 18x - 72y + 13 = 0 and 7x - my - 17 = 0 have no solution?

A. 28

B. 9

C. 24

D. 12

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MCQ Questions on Coordinate Geometry for Competitive Exams

41. Point P(-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

Answer & Solution

42. In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

Answer & Solution

43. The equations 3x + 4y = 10 and -x + 2y = 0, have the solution (a, b). The value of a + b is:

Answer & Solution

44. Find equation of the perpendicular to segment joining the points A(0, 4) and B(-5, 9) and passing through the point P. Point P divides segment AB in the ratio 2 : 3.

Answer & Solution

45. What is the equation of the line passing through the point (-1, 3) and having x-intercept of 4 units?

Answer & Solution

46. ABCD is a parallelogram. Co-ordinates of A, B and C are (5, 0), (-2, 3) and (-1, 4) respectively. What will be the equation of line AD?

Answer & Solution

47. If ax - 4y = -6 has a slope of $$ - \frac{3}{2}.$$ What is the value of a?

Answer & Solution

48. What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?

Answer & Solution

49. What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)?

Answer & Solution

50. For what value of m will the system of equations 18x - 72y + 13 = 0 and 7x - my - 17 = 0 have no solution?

Answer & Solution

41.
Point P(-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

42.
In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

43.
The equations 3x + 4y = 10 and -x + 2y = 0, have the solution (a, b). The value of a + b is:

44.
Find equation of the perpendicular to segment joining the points A(0, 4) and B(-5, 9) and passing through the point P. Point P divides segment AB in the ratio 2 : 3.

45.
What is the equation of the line passing through the point (-1, 3) and having x-intercept of 4 units?

46.
ABCD is a parallelogram. Co-ordinates of A, B and C are (5, 0), (-2, 3) and (-1, 4) respectively. What will be the equation of line AD?

47.
If ax - 4y = -6 has a slope of $$ - \frac{3}{2}.$$ What is the value of a?

48.
What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?

49.
What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)?

50.
For what value of m will the system of equations 18x - 72y + 13 = 0 and 7x - my - 17 = 0 have no solution?