NDA Conic Sections questions with solutions
Parabola, ellipse and hyperbola. 28 questions from our 2017–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.
Also practise: Conic Sections for JEE Main · Conic Sections for JEE Advanced
NDA 2025
- If the parabola y^2=4ax passes through the point (2,4), then its focus is
- The focus of the parabola x^2-6x-4y+17=0 is
- The distance between the foci of an ellipse with major axis 10 and minor axis 8 is
- The eccentricity of the rectangular hyperbola x^2-y^2=a^2 is
- The sum of the focal distances of any point on an ellipse is constant. 2. The absolute difference of the focal distances of any point on a hyperbola…
NDA 2024
- The locus of a point whose distances from (3,0) and (-3,0) add up to 10 is
- The length of the transverse axis of the hyperbola 9x^2-16y^2=144 is
- The vertex of the parabola y=x^2-6x+11 is
- The line y=x+k touches the ellipse (x^2/(9)+(y^2/(4)=1 for k equal to
- Consider the parabola y^2=8x. 1. Its focus is (2,0). 2. Its directrix is the line x=2.
NDA 2023
- A parabola with vertex at the origin and axis along the y-axis passes through the point (4,-2). Its equation is
- The ellipse with foci (±2,0) and eccentricity 1/2 has the equation
- A hyperbola has transverse axis of length 8 and conjugate axis of length 6. Its eccentricity is
- The equation x^2+y^2+2x+2y+2=0 represents a point circle. 2. The eccentricity of every parabola is 1.
NDA 2022
NDA 2021
NDA 2020
- The directrix of the parabola x^2+6x-8y+25=0 is the line
- The sum of the distances of any point on the ellipse 16x^2+25y^2=400 from its two foci is
- The equation of the hyperbola with foci (±5,0) and transverse axis of length 8 is
- The directrix of the parabola y^2=4ax is the line x=-a. 2. The focus of the parabola y^2=4ax lies on its directrix.
NDA 2019
- A point on the parabola y^2=8x lies at a distance of 6 units from the focus. Its coordinates are
- For the ellipse 4x^2+9y^2=144, the sum of the distances of any point on it from the two foci is
- The foci of the conic 9x^2-16y^2=144 are at the points
- An ellipse whose major axis has length 10 and whose foci are 6 units apart has eccentricity 3/5. 2. The hyperbola (x^2/(4)-(y^2/(9)=-1 has its…
NDA 2017
- A point on the parabola y^2=12x is at a distance 7 from the focus. Its abscissa is
- The distance between the directrices of the ellipse (x^2/(25)+(y^2/(9)=1 is
- The angle between the asymptotes of the hyperbola x^2-3y^2=3 is
- The length of the latus rectum of the parabola y^2=-8x is 8. 2. The foci of the ellipse (x^2/(16)+(y^2/(25)=1 lie on the y-axis.
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 12Straight Lines 43Circles 21Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30