1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If the three consecutive vertices of a parallelogram are ($$-$$2, $$-$$1), (1, 0) and (4, 3), then what are the coordinates of the fourth vertex?
A
(1, 2)
B
(1, 0)
C
(0, 0)
D
(1, $$-$$1)
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
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)?
A
1 : 3
B
3 : 4
C
1 : 2
D
2 : 3
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) ?
A
2x + 3y $$-$$ 4 = 0
B
2x + 3y $$-$$ 5 = 0
C
x + y $$-$$ 1 = 0
D
3x $$-$$ 2y + 7 = 0
4
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 $$\sqrt 3 x + \sqrt 2 y = 2$$ ?
A
$${\tan ^{ - 1}}\left( {{1 \over {2\sqrt 6 }}} \right)$$
B
$${\tan ^{ - 1}}\left( {{1 \over {\sqrt 2 }}} \right)$$
C
$${\tan ^{ - 1}}(3)$$
D
$${\tan ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)$$
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