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2 -chloro 2 - methyulpentane on reaction with sodium methoxide in methanol yields : $C_{2}H_{5}CH_{2}(a)CH_{3}∣C∣CH_{3} −OCH_{3} C_{2}H_{5}CH_{2}(b)CH_{3}∣C =CH_{2} C_{2}H_{5}CH=(c)CH_{3}∣C −CH_{3}$

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Statement - I : The value of the integral $∫_{π/6}1+tanx dx $is equal to $6π $.Statement - II : $∫_{a}f(x)dx=∫_{a}f(a+b−x)dx˙$

The expression $1−cotAtanA +1−tanAcotA $can be written as

A pendulum made of a uniform wire of cross sectional are A has time period T. When an additional mass M is added to its bob, the time period changes to $T_{M}$. If the Young's modulus of the material of the wire is Y then $Y1 $ is equal to : (g = gravitational acceleration)

If g is the inverse of a function f and $f_{_{′}}(x)=1+x_{5}1 $then g(x) is equal to

The integral $∫(1+x−x1 )e_{x+x1}dx$ is equal to

Two coaxial solenoids of different radii carry current I in the same direction. Let \displaystyle\vec{{F}}_{}

A ray of light along $x+3 y=3 $gets reflected upon reaching x-axis, the equation of the reflected rays is

Let $a,b$and $c$ be three non-zero vectors such that no two of them are collinear and $(a×b)×c=31 ∣c∣∣∣ b∣∣ ∣a∣$. If $θ$is the angle between vectors $b$and $c$then a value of $sinθ$is :