# Coordinate System and Straight Line · Mathematics · NDA

Start Practice## MCQ (Single Correct Answer)

NDA Mathematics 21 April 2024

The number of points represented by the equation $x = 5$ on the $xy$-plane is

NDA Mathematics 21 April 2024

If a variable line passes through the point of intersection of the lines $x + 2y - 1 = 0$ and $2x - y - 1 = 0$ and meets the coordinate axes in $A$ an...

NDA Mathematics 21 April 2024

What is the equation to the straight line passing through the point $(-sin\theta, cos\theta)$ and perpendicular to the line $xcos\theta + ysin\theta =...

NDA Mathematics 21 April 2024

Two points $P$ and $Q$ lie on line $y = 2x + 3$. These two points $P$ and $Q$ are at a distance 2 units from another point $R(1, 5)$. What are the coo...

NDA Mathematics 21 April 2024

If two sides of a square lie on the lines $2x + y - 3 = 0$ and $4x + 2y + 5 = 0$, then what is the area of the square in square units?

NDA Mathematics 21 April 2024

ABC is a triangle with A(3, 5). The mid-points of sides AB, AC are at (-1, 2), (6, 4) respectively. What are the coordinates of centroid of the triang...

NDA Mathematics 21 April 2024

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 angle...

NDA Mathematics 21 April 2024

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 wha...

NDA Mathematics 3 September 2023

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

NDA Mathematics 3 September 2023

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 ...

NDA Mathematics 3 September 2023

For what values of k is the line (k - 3)x - (5 - k2) y + k2 - 7k + 6 = 0 parallel to the line x + y = 1?...

NDA Mathematics 3 September 2023

The line x + y = 4 cuts the line joining P(-1, 1) and Q(5, 7) at R. What is PR ∶ RQ equal to ?

NDA Mathematics 3 September 2023

What is the sum of the intercepts of the line whose perpendicular distance from origin is 4 units and the angle which the normal makes with positive d...

NDA Mathematics 16 April 2023

What is the equation of diagonal through origin ?

NDA Mathematics 16 April 2023

What is the equation of other diagonal ?

NDA Mathematics 16 April 2023

If two lines of regression are x + 4y + 1 = 0 and 4x + 9y + 7 = 0, then what is the value of x when y = -3 ?

NDA Mathematics 16 April 2023

A bivariate data set contains only two points (-1, 1) and (3, 2). What will be the line of regression of y on x ?