NDA 2017 Paper 1 | Coordinate System and Straight Line Question 29 | Mathematics

What is the ratio in which the point $$C\left( { - {2 \over 7}, - {{20} \over 7}} \right)$$ divides the line joining the points A($$-$$2, $$-$$2) and B(2, $$-$$4)?

1 : 3

3 : 4

1 : 2

2 : 3

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of the straight line parallel to 2x + 3y + 1 = 0 and passes through the point ($$-$$1, 2) ?

2x + 3y $$-$$ 4 = 0

2x + 3y $$-$$ 5 = 0

x + y $$-$$ 1 = 0

3x $$-$$ 2y + 7 = 0

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the acute angle between the pair of straight lines $$\sqrt 2 x + \sqrt 3 y = 1$$ and $$\sqrt 3 x + \sqrt 2 y = 2$$ ?

$${\tan ^{ - 1}}\left( {{1 \over {2\sqrt 6 }}} \right)$$

$${\tan ^{ - 1}}\left( {{1 \over {\sqrt 2 }}} \right)$$

$${\tan ^{ - 1}}(3)$$

$${\tan ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$$

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If the centroid of a triangle formed by (7, x), (y, $$-$$6) and (9, 10) is (6, 3), then the values of x and y are respectively

5, 2

2, 5

1, 0

0, 0

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