NDA 2018 Paper 2 | Coordinate System and Straight Line Question 35 | Mathematics

What is the equation of straight line passing through the point of intersection of the lines $${x \over 2} + {y \over 3} = 1$$ and $${x \over 3} + {y \over 2} = 1$$ and parallel to the line $$4x + 5y - 6 = 0$$ ?

$$20x + 25y - 54 = 0$$

$$25x + 20y - 54 = 0$$

$$4x + 5y - 54 = 0$$

$$4x + 5y - 45 = 0$$

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the distance between the points which divide the line segment joining (4, 3) and (5, 7) internally and externally in the ratio 2 : 3 ?

$${{12\sqrt {17} } \over 5}$$

$${{13\sqrt {17} } \over 5}$$

$${{\sqrt {17} } \over 5}$$

$${{6\sqrt {17} } \over 5}$$

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the angle between the straight lines $$({m^2} - mn)y = (mn + {n^2})x + {n^3}$$ and $$(mn + {m^2})y = (mn - {n^2})x + {m^3}$$, where m > n?

$${\tan ^{ - 1}}\left( {{{2mn} \over {{m^2} + {n^2}}}} \right)$$

$${\tan ^{ - 1}}\left( {{{4{m^2}{n^2}} \over {{m^4} - {n^4}}}} \right)$$

$${\tan ^{ - 1}}\left( {{{4{m^2}{n^2}} \over {{m^4} + {n^4}}}} \right)$$

$$45^\circ $$

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the equation of the straight line cutting-off an intercept 2 from the negative direction of Y-axis and inclined at 30$$^\circ$$ with the positive direction of X-axis?

$$x - 2\sqrt 3 y - 3\sqrt 2 = 0$$

$$x + 2\sqrt 3 y - 3\sqrt 2 = 0$$

$$x + \sqrt {3y} - 2\sqrt 3 = 0$$

$$x - \sqrt 3 y - 2\sqrt 3 = 0$$

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