1
JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
Change Language
Consider the function


where P(x) is a polynomial such that P'' (x) is always a constant and P(3) = 9. If f(x) is continuous at x = 2, then P(5) is equal to _____________.JEE Main 2021 (Online) 25th July Evening Shift Mathematics - Limits, Continuity and Differentiability Question 123 English
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2
JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
Change Language
The equation of a circle is Re(z2) + 2(Im(z))2 + 2Re(z) = 0, where z = x + iy. A line which passes through the center of the given circle and the vertex of the parabola, x2 $$-$$ 6x $$-$$ y + 13 = 0, has y-intercept equal to ______________.
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3
JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
Change Language
If $$\left( {\overrightarrow a + 3\overrightarrow b } \right)$$ is perpendicular to $$\left( {7\overrightarrow a - 5\overrightarrow b } \right)$$ and $$\left( {\overrightarrow a - 4\overrightarrow b } \right)$$ is perpendicular to $$\left( {7\overrightarrow a - 2\overrightarrow b } \right)$$, then the angle between $$\overrightarrow a $$ and $$\overrightarrow b $$ (in degrees) is _______________.
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4
JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
Change Language
If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a4 + b4 + c4 is equal to ______________.
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