NDA Mathematics 21 April 2024 | Coordinate System and Straight Line Question 64 | Mathematics

ABC is an acute angled isosceles triangle. Two equal sides AB and AC lie on the lines 7x - y - 3 = 0 and x + y - 5 = 0. If θ is one of the equal angles, then what is cotθ equal to?

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

Let $x+2 y+1=0$ and $2 x+3 y+4=0$ are two lines of regression computed from some bivariate data. If $\theta$ is the acute angle between them, then what is the value of $488 \tan 3 \theta$ ?

191

161

131

121

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

The points (-a, -b), (0, 0), (a, b) and (a2, ab) are:

lying on the same circle

vertices of a square

vertices of a parallelogram that is not a square

collinear

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Given that 16p2 + 49q2 - 4r2 - 56pq = 0. Which one of the following is a point on a pair of straight lines (px + qy + r) (px + qy - r) = 0?

$ \left(2, \frac{7}{2}\right) $

$ \left(2,-\frac{7}{2}\right)$

(4, -7)

(4, 7)

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