In a triangle ABC, if the tangent of half the difference of two angles is equal to one third of the tangent of half the sum of the angles, then the ratio of the sides opposite to the angles is
Previous 10 Questions — NIMCET 2022
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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 $\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$
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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
If $\alpha , \beta$ are the roots of $x^2-x-1=0$ and $A_n=\alpha^n+\beta^n$, the Arithmetic mean of $A_{n-1}$ and $A_n$…
Topic: NIMCET 2022
If ${\Bigg{(}\frac{x}{a}\Bigg{)}}^2+{\Bigg{(}\frac{y}{b}\Bigg{)}}^2=1$, $(a{\gt}b)$ and ${x}^2-{y}^2={c}^2$ cut at righ…
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Next 10 Questions — NIMCET 2022
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If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is
Topic: NIMCET 2022
If $cos^{-1} \frac{x}{2}+cos^{-1} \frac{y}{3}=\phi$, then $9x^2-12xy cos\phi+4y^2$ is
Topic: NIMCET 2022
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…
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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
