Recent content by DaalChawal

Help in circle touching internally all these three circles.

You have added them like they are moving on straight line...In circle velocity changes as direction is changing.

Question 3

I am unable to follow after this

Okay I think this should hold true for any $x$ except $n \pi$ , $\frac{(2n+1) \pi }{2}$ Am I correct?

Q. Is $ |tanx + cotx| = |tanx| + |cotx| $ true for any $x?$ If it is true, then find the values of $x$. My Working --> Since $tanx$ and $cotx$ always have the same sign, so this holds true for any value of $x$.

@romsek What is wrong in this method? _ _ _ _ _ _ _ _ _ (Example --> _R_R_I_M_ There are 5 gaps) Number of vowels to be never adjacent = (Number of ways in which the 4 consonants can be arranged in their designated places) × (Number of ways in which the 4 vowels can be arranged in the 5...

Thanks, I understood it now.

Thank you so much! Instead of this method If I solve like this I think I'm doing some error. Can you please help Total permutation of all 8 letters = $\frac{8!}{2! 2!}$ = (a) and now let's assume all the vowels are together so ways will be = $\frac{4!}{2!}$ = (b) Now the required answer is...

How to find image of $f(x)= x + sinx$ about the given line $y = - x$ . Similarly can we take image of a function about a function? OR is it necessary about which we take image should be a point, line only?

Question itself and options 1 and 3.

We can combine for (iia) and (iib) we will take union of those domains and for whole (i) and (ii) we can take intersection

Isn't there a possibility that other root can be negative but of less magnitude so that sum becomes positive and product becomes negative?

I am confused in (iia) and (iib). If $x^4 +( \alpha - 1) x^2 + \alpha + 2 = 0$ has real roots that means $y^2 + ( \alpha -1) + \alpha + 2 =0 $ should have at least one non-negative root. This means product of roots of (2) can be greater or less than zero...But I'm not able to comment on sum of...