Tata Mcgraw Hill Mathematics For Iit Jee !full!

Hint: $\alpha+\beta=3, \alpha\beta=4$. $\alpha^3+\beta^3 = (\alpha+\beta)^3 - 3\alpha\beta(\alpha+\beta)$. Reciprocal roots relation: if $P(x)=0 \implies 4x^2-3x+1=0$ for reciprocal roots.

The number of ways in which 5 boys and 3 girls can be seated in a row so that no two girls sit together is divisible by 144. If the number of ways is $N$, find the value of $N/144$. tata mcgraw hill mathematics for iit jee

Hint: Check LHD = RHD at 0. (A) $f(x) = x^2 (x>0), -x^2 (x<0)$. Diff. (B) $f(x) = x^3$. Diff. (C) $\sin|x|$. Not diff at 0 (mod function cusp). (D) $2x (x>0), 0 (x<0)$. Not diff. Hint: $\alpha+\beta=3, \alpha\beta=4$

The book is primarily intended for students preparing for the IIT JEE, particularly those who are in their 11th or 12th standard. However, it can also be useful for students who are preparing for other engineering entrance exams, such as the Graduate Aptitude Test in Engineering (GATE). The number of ways in which 5 boys