NDA Straight Lines questions with solutions
Equations of lines, distance and loci. 43 questions from our 2016–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.
NDA 2025
- The length of the portion of the line 4x+3y=12 intercepted between the coordinate axes is
- The line through (1,2) that cuts off equal non-zero intercepts on the coordinate axes is
- Find the equation of the straight line that cuts off an intercept of 2 on the x-axis and an intercept of -3 on the y-axis.
- The point which divides the line segment joining (1,2) and (4,5) externally in the ratio 2:1 is
NDA 2024
- If the centroid of the triangle with vertices (1,2), (3,-4) and (x,y) is the origin, then (x,y) is
- The area of the triangle formed by the lines y=x, y=-x and x=4 is
- The equation of the line passing through (-1,4) and parallel to the line joining (2,5) and (6,13) is
- The perpendicular distance of the origin from the line joining the points (6,0) and (0,8) is
NDA 2023
- The equation of the line through (1,2) perpendicular to 2x-3y+5=0 is
- A point in the first quadrant lies on the line x+y=9 and its distance from the y-axis is twice its distance from the x-axis. The point is
- The line joining (2,-3) and (6,5) is cut by the y-axis in the ratio
- The locus of a point which is equidistant from (2,0) and (0,2) is
NDA 2022
NDA 2021
NDA 2020
- A line passes through the point (2,3) and the point is the midpoint of the part of the line lying between the coordinate axes. The equation of the…
- The area of the quadrilateral with vertices (0,0), (4,0), (5,3) and (0,3) is
- The slope of the line 2x+3y=6 is 2/3. 2. The x-intercept of the line 2x+3y=6 is 2.
- The foot of the perpendicular drawn from the point (1,2) to the line x+y=7 is
NDA 2019
- Two parallel sides of a rectangular plot lie along the lines 5x-12y+7=0 and 5x-12y-19=0. The width of the plot is
- The lines x+y=4 and 2x-y=2 meet at a point P. The line through P perpendicular to x+2y=3 is
- A point P lies on the x-axis and is equally distant from the points A(1,2) and B(3,4). The abscissa of P is
NDA 2018
- The distance of the origin from the line 5x-12y+39=0 is
- The lines x+y=10 and x-y=2 meet at a point P. The area of the triangle with vertices O(0,0), A(6,0) and P is
- The centre of the circle 3x^2+3y^2-12x+18y-5=0 is
- The equation of the directrix of the parabola y^2=-6x is
- The latus rectum of an ellipse is half of its minor axis. The eccentricity of the ellipse is
- The combined equation of the asymptotes of the hyperbola (x^2/(4)-(y^2/(9)=1 is
- The lines kx+2y=3 and 4x-y=7 are perpendicular when k equals
- The equation of the circle of radius 5 that touches both coordinate axes and lies in the first quadrant is
- The point (1,1) lies inside the circle x^2+y^2=4. 2. The parabola y^2=8x passes through the point (2,-4).
- Triangle with vertices (0,0), (6,0) and (0,9): 1. Its centroid is (2,3). 2. Its orthocentre is (3,4.5).
- The point that divides the join of (2,-1) and (8,5) internally in the ratio 1:2 is
NDA 2017
- The distance of the point (2,1) from the line 5x-12y+7=0 is
- The line through (1,2) whose non-zero intercepts on the axes are equal in magnitude but opposite in sign is
- The tangent of the acute angle between the lines of slopes 2 and 3 is
- The area of the triangle formed by the lines y=x, y=2x and x=3 is
- The distance between the parallel lines 3x+4y-10=0 and 6x+8y+5=0 is
NDA 2016
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Permutations and Combinations 25Statistics 35Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Functions and Identities 49Trigonometric Equations 16Properties of Triangles 18Heights and Distances 12Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30