# Straight Lines : Geometry

This set of MCQs is about the concepts of straight Lines, the study of coordinate geometry, where we will test our study about coordinate axes, coordinate plane, plotting of points in a plane, distance between two points, section formulae, etc.

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What is the distance between (1, 3) and (5, 6)?

3 units 4 units 5 units 25 units

What is the distance of (5, 12) from origin?

6 units 8 units 10 units 13 units

In which ratio (3, 4) divides the line segment joining (1, 2) and (4, 5) internally?

1:2 2:1 3:4 4:3

The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is ____________________

(4, 5) (6, 8) (7, 8) (8, 6)

If the points (5, –1, 1), (–1, –3, 4) and (1, –6, 10) are the three vertices of a rhombus taken in order, then which one of the following is the fourth vertex?

(7, – 4, 11) (3, 7/2,11/2) (7, – 4, 7) (7, 4, 11)

What is the area of the triangle whose vertices are (0,0,0) (3, 4, 0) and (3, 4, 6) ?

12 square units 15 square units 30 square units 36 square units

The point (x, y) lies on the line with slope m and through the fixed point (x0, y0) if and only if its coordinates satisfy the equation y – y0 is equal to ......... .

m(x – x) m(y – x) m(y – x) m(x – y)

The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) internally in the ratio 2:1 is ____________________.

(3, 4)

(4, 3)

(5, 4)

(5, 3)

What can be said regarding a line if its slope is negative,

θ is an acute angle

θ is an obtuse angle

Either the line is x-axis or it is parallel to the x-axis.

None of these

The equation of the line which cuts off equal and positive intercepts from the axes and passes through the point (α, β) is,

x + y = α + β

x + y = α

x + y = β

None of these

Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are coincident if,

a1/a2 = b1/b2 ≠ c1/c2

a1/a2 ≠ b1/b2 = c1/c2

a1/a2 ≠ b1/b2 ≠ c1/c2

a1/a2 = b1/b2 = c1/c2

The equation of the line passing through the point (2, 3) with slope 2 is,

2x + y – 1 = 0

2x – y + 1 = 0

2x – y – 1 = 0

2x + y + 1 = 0

The slope of the line ax + by + c = 0 is,

a/b

-a/b

-c/b

c/b

A point moves such that its distance from the point (4, 0) is half that of its distance from the line x = 16. The locus of the point is,

3x2 + 4y2 = 192

4x2 + 3y2 = 192

x2 + y2 = 192

None of these

The intercept cut off by a line from y-axis twice than that from x-axis, and the line passes through the point (1, 2). The equation of the line is,

2x + y = 4

2x + y + 4 = 0

2x – y = 4

2x – y + 4 = 0

Quiz/Test Summary
Title: Straight Lines : Geometry
Questions: 15
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