1
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If the variable line 3x + 4y = $$\alpha$$ lies between the two
circles (x $$-$$ 1)2 + (y $$-$$ 1)2 = 1
and (x $$-$$ 9)2 + (y $$-$$ 1)2 = 4, without intercepting a chord on either circle, then the sum of all the integral values of $$\alpha$$ is ___________.
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2
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is ___________.
Your input ____
3
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If $$x\phi (x) = \int\limits_5^x {(3{t^2} - 2\phi '(t))dt} $$, x > $$-$$2, and $$\phi$$(0) = 4, then $$\phi$$(2) is __________.
Your input ____
4
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If $$\left( {{{{3^6}} \over {{4^4}}}} \right)k$$ is the term, independent of x, in the binomial expansion of $${\left( {{x \over 4} - {{12} \over {{x^2}}}} \right)^{12}}$$, then k is equal to ___________.
Your input ____
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