Aptitude · all questions

Coordinate Geometry
practice.

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Q21

The equation of a straight line on a point (3, -5) and slope 2 is:

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Q22

The graph of the equations 25x + 75y = 225 and x = 9 meet at the point:

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Q23

Slope of the side DA of the rectangle ABCD is

\frac{5}{3}

. What is the slope of the side AB?

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Q24

For triangle ABC, find equation of median AD if co-ordinates of points A, B and C are (2, -4), (3, 0) and (5, -2) respectively?

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Q25

The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is-

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Q26

What is the equation of the line whose y-intercept is

- \frac{3}{4}

and making an angle of 45° with the positive x-axis?

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Q27

Find k, if the line 4x - y = 1 is perpendicular to the line 5x - ky = 2?

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Q28

At what point does the line 2x - 3y = 6 cuts the Y axis?

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Q29

The line passing through (-2, 5) and (6, b) is perpendicular to the line 20x + 5y = 3. Find b?

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Q30

Find k, if the line 2x - 3y = 11 is perpendicular to the line 3x + ky = -4?

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Q31

The graph of 3x + 4y - 24 = 0 forms a triangle OAB with the co-ordinate axes, where O is the origin. Also the graph of x + y + 4 = 0 forms a triangle OCD with the coordinate axes. Then the area of ΔOCD is equal to:

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Q32

The distance between the points (4, 8) and (k, -4) is 13. What is the value of k?

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Q33

The slope of the line passing through the points (2, -1) and (x, 5) is -1. Find x?

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Q34

For what value of m will the system of equations 17x + my + 102 = 0 and 23x + 299y + 138 = 0 have infinite number of solutions?

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Q35

For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident?

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Q36

The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:

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Q37

The line passing through (-3, 4) and (0, 3) is perpendicular to the line passing through (5, 7) and (4, x). What is the value of x?

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Q38

If (2, 0) is a solution of the linear equation 2x + 3y = 5, then the value of k is:

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Q39

What is the y-intercept of the linear equation 59x + 14y - 112 = 0?

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Q40

The graphs of the equations 2x + 3y = 11 and x - 2y + 12 = 0 intersects at P(x₁, y₁) and the graph of the equation x - 2y + 12 = 0 intersects the x-axis at Q(x₂, y₂). What is the value of (x₁ - x₂ + y₁ + y₂)?

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