Question # 1

The cartesian system of coordinates was introduced by:

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Eulaer

Euclid

Descrates

Maclream

The distance of a point (x cosθ , x sinθ ) from origin is:

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x

x tanθ

-tanθ

-cotθ

The distance between lines 3x + 4y = 9 and 6x +8y = 15 is:

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2/3

3/10

8

6/5

The distance between the parallel lines 3x - 4y + 3 =0 and 3x -4y + 7 = 0 is:

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2/3

9/13

4/5

7/12

Shifting origin to (1,-2), the new coordinates of (4,5) are:

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(3,7)

(5,3)

(-3,7)

(3,-7)

The equation of the line through (-8, 5) having slope undefined is:

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y + 8 = 0

y = 8

y = x + 8

x + 8 = 0

Axes remain parallel to the old axes, in:

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Translating of axes

rotation of axes

Translation and rotation of axes

None of these

The two vertices of a triangle are (-2,4)and (5,4). If its centroid is (5,6), then third vertex is:

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(-10,12)

(12,-10)

(12,10)

(10,12)

The distance from the point P(3,4) to the line y = 2x - 3 is:

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√5

√3

2√3

1/√5

The length of perpendicular form(-2,3) to the line y=2x-3 is:

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5√2

6

2√5

7.5

Three points (-2,2) (8,-2) and (-4,3) are vertices of a :

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Isosceles triangle

right-angled triangle

Equilateral trainagle

Rectangle

The distance from the point P(6,-1) to the line 6x - 4x + 9 = 0 is:

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5/7

√52/7

2/48

49 /√52

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ECAT Pre General Science Mathematics Chapter 20 Analytic Geometry Online Test MCQs With Answers

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