class 12

Missing

JEE Advanced

Q. Which of the following is correctg?

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Let $P=⎣⎡ 1416 014 001 ⎦⎤ $and $I$ be the identity matrix of order $3$. If $Q=[q_{()}ij]$ is a matrix, such that $P_{50}−Q=I$, then $q_{21}q_{31}+q_{32} $ equals

Let $f:(−2π ,2π )R$be given by $f(x)=(g(secx+tanx))_{3}$then$f(x)$is an odd function$f(x)$is a one-one function$f(x)$is an onto function$f(x)$is an even function

Let $u^=u_{1}i^+u_{2}j^ +u_{3}k^$ be a unit vector in be a unit vector in $R_{3}andw^=6 1 (i^+j^ +2k^)$.Given that there exists vector $v^$ in $R_{3}$ such that $∣u^×v∣=1andw^.(u^×v)=1$. Which of the following statement(s) is(are) correct?

A circle S passes through the point (0, 1) and is orthogonal to the circles $(x−1)_{2}+y_{2}=16$ and $x_{2}+y_{2}=1$. Then (A) radius of S is 8 (B) radius of S is 7 (C) center of S is (-7,1) (D) center of S is (-8,1)

Let $X$be the set consisting of the first 2018 terms of the arithmetic progression $1,6,11,,¨ $and $Y$be the set consisting of the first 2018 terms of the arithmetic progression $9,16,23,¨$. Then, the number of elements in the set $X∪Y$is _____.

A box $B_{1}$, contains 1 white ball, 3 red balls and 2 black balls. Another box $B_{2}$, contains 2 white balls, 3 red balls and 4 black balls. A third box $B_{3}$, contains 3 white balls, 4 red balls and 5 black balls.

If $y=y(x)$ satisfies the differential equation $8x (9+x )dy=(4+9+x )_{−1}dx,x>0$ and $y(0)=7, $ then $y(256)=$ (A) 16 (B) 80 (C) 3 (D) 9

If $2x−y+1=0$ is a tangent to the hyperbola $a_{2}x_{2} −16y_{2} =1$ then which of the following CANNOT be sides of a right angled triangle? (a)$a,4,2$ (b) $a,4,1$(c)$2a,4,1$ (d) $2a,8,1$