Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
Study Stuff for MCA Examinations
NIMCET 2027 Previous Year Questions (PYQs)
NIMCET 2027 Conic Section PYQ
NIMCET 2027 PYQ
Go to Discussion
NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2008 PYQ
Equation of the common tangent touching the circle
$(x-3)^2+y^2=9$
and the parabola
$y^2=4x$
above the $x$-axis is
Go to Discussion
NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2008 PYQ
Solution
Let tangent be $y=mx+c$, $m>0$. Tangency with $y^2=4x$ gives $c=\dfrac1m$. Tangency with the circle gives $|3m-c|=3\sqrt{m^2+1}$. Solving gives $m=\dfrac1{\sqrt3},\ c=\sqrt3$. Equation: $\sqrt3y=x+3$ Answer: $\boxed{\sqrt3y=x+3}$
NIMCET 2027 PYQ
Go to Discussion
NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2010 PYQ
The angle of intersection of the cardioids $r = a(1 + \cos\theta)$ and $r = a(1 - \cos\theta)$ is
Go to Discussion
NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2010 PYQ
Solution
At intersection: a(1 + cosθ) = a(1 – cosθ) ⇒ cosθ = 0 ⇒ θ = π/2 or 3π/2 Slope formula for polar curves shows angle of intersection = 90°NIMCET 2027
Online Test Series,
Information About Examination,
Syllabus, Notification
and More.
View More
NIMCET 2027
Online Test Series,
Information About Examination,
Syllabus, Notification
and More.
View More
Limited Seats
×
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.
