Let P=⎣⎡1416014001⎦⎤and I be the identity matrix of order 3. If Q=[q()ij] is a matrix, such that P50−Q=I, then q21q31+q32 equals
Let f:(−2π,2π)Rbe given by f(x)=(log(secx+tanx))3thenf(x)is an odd functionf(x)is a one-one functionf(x)is an onto functionf(x)is an even function
Let u^=u1i^+u2j^+u3k^ be a unit vector in be a unit vector in R3andw^=61(i^+j^+2k^).Given that there exists vector v^ in R3 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+y2=16 and x2+y2=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 Xbe the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ,¨and Ybe the set consisting of the first 2018 terms of the arithmetic progression 9, 16, 23, ¨. Then, the number of elements in the set X∪Yis _____.
A box B1, contains 1 white ball, 3 red balls and 2 black balls. Another box B2, contains 2 white balls, 3 red balls and 4 black balls. A third box B3, 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)−1dx,x>0 and y(0)=7, then y(256)= (A) 16 (B) 80 (C) 3 (D) 9