MCQ Questions on Coordinate Geometry for Competitive Exams Page-6 section-1

51.
The slope of the given line is:

A. Positive

B. Negative

C. Undefined

D. Zero

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52.
The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

A. 2

B. $$2\frac{1}{3}$$

C. $$2\frac{1}{2}$$

D. 3

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53.
A line cuts the x axis at the point (-3, 0) and the y-axis at the point (0, 6). What is the equation of the line?

A. x = 2y + 6

B. y = 2x - 6

C. x = 2y - 6

D. y = 2x + 6

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54.
Find the coordinates of the points where the graph 57x - 19y = 399 cuts the coordinate axes.

A. x-axis at (7, 0) and y-axis at (0, 21)

B. x-axis at (-7, 0) and y-axis at (0, - 21)

C. x-axis at (7, 0) and y-axis at (0, -21)

D. x-axis at (-7, 0) and y-axis at (0, 21)

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55.
The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:

A. 3x² - y² = 20

B. x² + y² = 20

C. 3x² + y² = 20

D. x² - y² = 20

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56.
The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(α, β). What is the value of (2α - β)?

A. 3

B. 4

C. 6

D. 5

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57.
2x - ky + 7 = 0 and 6x - 12y + 15 = 0 has no solution for;

A. k = -1

B. k = -4

C. k = 4

D. k = 1

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58.
If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x, y) is:

A. (1, 2)

B. (2, 1)

C. (1, 1)

D. (2, 2)

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59.
The straight line 2x + 3y = 12 passes through:

A. 1^st, 2^nd and 3^rd quadrant

B. 1^st, 2^nd and 4^th quadrant

C. 2^nd, 3^rd and 4^th quadrant

D. 1^st, 3^rd and 4^th quadrant

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60.
The area of a triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:

A. 8 sq. units

B. 13 sq. units

C. 20 sq. units

D. 40 sq. units

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MCQ Questions on Coordinate Geometry for Competitive Exams

51. The slope of the given line is:

Answer & Solution

52. The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

Answer & Solution

53. A line cuts the x axis at the point (-3, 0) and the y-axis at the point (0, 6). What is the equation of the line?

Answer & Solution

54. Find the coordinates of the points where the graph 57x - 19y = 399 cuts the coordinate axes.

Answer & Solution

55. The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:

Answer & Solution

56. The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(α, β). What is the value of (2α - β)?

Answer & Solution

57. 2x - ky + 7 = 0 and 6x - 12y + 15 = 0 has no solution for;

Answer & Solution

58. If (2x)(2y) = 8 and (9x)(3y) = 81, then (x, y) is:

Answer & Solution

59. The straight line 2x + 3y = 12 passes through:

Answer & Solution

60. The area of a triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:

Answer & Solution

51.
The slope of the given line is:

52.
The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

53.
A line cuts the x axis at the point (-3, 0) and the y-axis at the point (0, 6). What is the equation of the line?

54.
Find the coordinates of the points where the graph 57x - 19y = 399 cuts the coordinate axes.

55.
The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:

56.
The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(α, β). What is the value of (2α - β)?

57.
2x - ky + 7 = 0 and 6x - 12y + 15 = 0 has no solution for;

58.
If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x, y) is:

59.
The straight line 2x + 3y = 12 passes through:

60.
The area of a triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is: