1
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
Change Language
If the variance of 10 natural numbers 1, 1, 1, ....., 1, k is less than 10, then the maximum possible value of k is ________.
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2
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
Change Language
Let $$\lambda$$ be an integer. If the shortest distance between the lines

x $$-$$ $$\lambda$$ = 2y $$-$$ 1 = $$-$$2z and x = y + 2$$\lambda$$ = z $$-$$ $$\lambda$$ is $${{\sqrt 7 } \over {2\sqrt 2 }}$$, then the value of | $$\lambda$$ | is _________.
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3
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
Change Language
If a + $$\alpha$$ = 1, b + $$\beta$$ = 2 and $$af(x) + \alpha f\left( {{1 \over x}} \right) = bx + {\beta \over x},x \ne 0$$, then the value of the expression $${{f(x) + f\left( {{1 \over x}} \right)} \over {x + {1 \over x}}}$$ is __________.
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4
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language
If the area of the triangle formed by the positive x-axis, the normal and the tangent to the circle (x $$-$$ 2)2 + (y $$-$$ 3)2 = 25 at the point (5, 7) is A, then 24A is equal to _________.
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