class 12

Missing

JEE Advanced

The piston is not pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Let $αandβ$ be nonzero real numbers such that $2(cosβ−cosα)+cosαcosβ=1$ . Then which of the following is/are true? (a) $3 tan(2α )+tan(2β )=0$ (b) $3 tan(2α )−tan(2β )=0$ (c) $tan(2α )+3 tan(2β )=0$ (d) $tan(2α )−3 tan(2β )=0$

Â·If the normals of the parabola $y_{2}=4x$ drawn at the end points of its latus rectum are tangents to the circle $(x−3)_{2}(y+2)_{2}=r_{2}$ , then the value of $r_{2}$ is

Football teams T1 and T2 have to play two games against each other. It is assumed that theoutcomes of the two games are independent. The probabilities of T1 winning, drawing andlosing a game against T2 are1/ 2,and1/6,1/3respectively. Each team gets 3 points for a win,1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total pointsscored by teams T1 and T2, respectively, after two gamesP $(X=Y)$ is

Let $b_{1}>1$ for $i=1,2,……,101.$ Suppose $g_{e}b_{1},g_{e}b_{10}$ are in Arithmetic progression $(A.P.)$ with the common difference $g_{e}2.$ suppose $a_{1},a_{2}……….a_{101}$ are in A.P. such $a_{1}=b_{1}anda_{51}=b_{51}.$ If $t=b_{1}+b_{2}+……+b_{51}ands=a_{1}+a_{2}+……+a_{51}$ then

Perpendiculars are drawn from points on the line $2x+2 =−1y+1 =3z $ to the plane $x+y+z=3$ The feet of perpendiculars lie on the line (a) $5x =8y−1 =−13z−2 $ (b) $2x =3y−1 =−5z−2 $ (c) $4x =3y−1 =−7z−2 $ (d) $2x =−7y−1 =5z−2 $

Let $f:R→Randg:R→R$ be respectively given by $f(x)=∣x∣+1andg(x)=x_{2}+1$. Define $h:R→R$ by $h(x)={max{f(x),g(x)},ifx≤0andmin{f(x),g(x)},ifx>0$.The number of points at which $h(x)$ is not differentiable is

For $3×3$matrices $MandN,$which of the following statement (s) is (are) NOT correct ?$N_{T}MN$is symmetricor skew-symmetric, according as $m$is symmetric or skew-symmetric.$MN−NM$is skew-symmetric for all symmetric matrices $MandN˙$$MN$is symmetric for all symmetric matrices $MandN$$(adjM)(adjN)=adj(MN)$for all invertible matrices $MandN˙$

In a triangle the sum of two sides is x and the product of the same is y. If $x_{2}−c_{2}=y$ where c is the third side. Determine the ration of the in-radius and circum-radius