If $cos^{-1} \frac{x}{2}+cos^{-1} \frac{y}{3}=\phi$, then $9x^2-12xy cos\phi+4y^2$ is
Previous 10 Questions — NIMCET 2022
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If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is
Topic: NIMCET 2022
In a triangle ABC, if the tangent of half the difference of two angles is equal to one third of the tangent of half th…
Topic: NIMCET 2022
There are two circles in xy −plane whose
equations are $x^2+y^2-2y=0$ and $x^2+y^2-2y-3=0$. A point $(x,y)$ is
chosen…
Topic: NIMCET 2022
Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is
Topic: NIMCET 2022
The value of $\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$
Topic: NIMCET 2022
A straight line through the point (4, 5) is
such that its intercept between the axes is
bisected at A, then its equat…
Topic: NIMCET 2022
If the roots of the quadratic equation $x^2+px+q=0$ are tan 30° and tan 15°
respectively, then the value of 2 + p - q …
Topic: NIMCET 2022
In a Harmonic Progression, $p^{th}$ term is $q$ and
the $q^{th}$ term is $p$. Then $pq^{th}$ term is
Topic: NIMCET 2022
Solutions of the equation ${\tan }^{-1}\sqrt[]{{x}^2+x}+{\sin }^{-1}\sqrt[]{{x}^2+x+1}=\frac{\pi}{2}$ are
Topic: NIMCET 2022
If $a_1, a_2, a_3,...a_n$, are in Arithmetic Progression
with common difference d, then the sum $(sind) (cosec a_1 . c…
Topic: NIMCET 2022
Next 10 Questions — NIMCET 2022
Ascending by ID
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The value of ${3}^{3-\log _35}$ is
Topic: NIMCET 2022
There are two sets A and B with |A| = m and
|B| = n. If |P(A)| − |P(B)| = 112 then
choose the wrong option (where |A|…
Topic: NIMCET 2022
The eccentricity of an ellipse, with its center
at the origin is $\frac{1}{3}$
. If one of the directrices is
$x=9$, …
Topic: NIMCET 2022
If the angle of elevation of the top of a hill
from each of the vertices A, B and C of a
horizontal triangle is $\alp…
Topic: NIMCET 2022
If $(\vec{a} \times \vec{b}) \times \vec{c}= \vec{a} \times (\vec{b} \times \vec{c})$, then
Topic: NIMCET 2022
Today is Wednesday. What would be the day
after 61 days?
Topic: NIMCET 2022
Identify the fifth number in the series:
122, 144, 166, 188, ?
Topic: NIMCET 2022
Which of the following is the odd one from
the given alternatives?
Topic: NIMCET 2022
Fill in the blank: HEC, JGE, LIG, NKI, ______
Topic: NIMCET 2022
Choose the word opposite in meaning to the
given word: MITIGATE
Topic: NIMCET 2022
