Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
  • Phrases
    Previous Year Questions

Phrases Previous Year Questions (PYQs)

Phrases Hyperbola PYQ

Phrases PYQ
The tangent to the hyperbola $x^2-y^2=3$ are parallel to the straight line $2x+y+8=0$ at the following points:





Go to Discussion
Phrases Previous Year PYQ Phrases CUET 2023 PYQ

Solution

Slope of line $2x+y+8=0$ is $-2$. Slope of tangent to hyperbola is $\dfrac{x}{y}$. Set $\dfrac{x}{y}=-2 \Rightarrow y=-\dfrac{x}{2}$. Substitute in $x^2-y^2=3$ ⇒ $x=\pm2$, $y=\mp1$.
Phrases PYQ
The foci of hyperbola coincide with foci of ellipse $ \frac{x^2}{25} + \frac{y^2}{9} = 1 $. So the equation of hyperbola if $e = 2$ is 

(a) $ \frac{x^2}{4} - \frac{y^2}{12} = 1 $ 
(b) $ \frac{x^2}{16} - \frac{y^2}{12} = 1 $ 
(c) $ \frac{x^2}{12} - \frac{y^2}{4} = 1 $ 
(d) $ \frac{x^2}{2} - \frac{y^2}{9} = 1 $





Go to Discussion
Phrases Previous Year PYQ Phrases CUET MCA 2026 PYQ

Solution


Phrases

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Phrases

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More
Limited Seats
× Aspire MCA Promotion

Game Changer NIMCET Test Series 2026

Boost your preparation with mock tests, analysis and rank-focused practice.

JOIN NOW
Ask Your Question or Put Your Review.

loading...