1
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Change Language
Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = _______.
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2
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Out of Syllabus
Change Language
Let a line y = mx (m > 0) intersect the parabola, y2 = x at a point P, other than the origin. Let the tangent to it at P meet the x-axis at the point Q. If area ($$\Delta $$OPQ) = 4 sq. units, then m is equal to __________.
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3
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Change Language
The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is _______.
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4
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Out of Syllabus
Change Language
The sum, $$\sum\limits_{n = 1}^7 {{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 4}} $$ is equal to ________.
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