1
JEE Main 2020 (Online) 9th January Morning Slot
Numerical
+4
-0
Change Language
The coefficient of x4 is the expansion of (1 + x + x2)10 is _____.
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2
JEE Main 2020 (Online) 9th January Morning Slot
Numerical
+4
-0
Change Language
If for x $$ \ge $$ 0, y = y(x) is the solution of the differential equation
(x + 1)dy = ((x + 1)2 + y – 3)dx, y(2) = 0, then y(3) is equal to _______.
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3
JEE Main 2020 (Online) 9th January Morning Slot
Numerical
+4
-0
Out of Syllabus
Change Language
If the vectors, $$\overrightarrow p = \left( {a + 1} \right)\widehat i + a\widehat j + a\widehat k$$,

$$\overrightarrow q = a\widehat i + \left( {a + 1} \right)\widehat j + a\widehat k$$ and

$$\overrightarrow r = a\widehat i + a\widehat j + \left( {a + 1} \right)\widehat k\left( {a \in R} \right)$$

are coplanar and $$3{\left( {\overrightarrow p .\overrightarrow q } \right)^2} - \lambda \left| {\overrightarrow r \times \overrightarrow q } \right|^2 = 0$$, then the value of $$\lambda $$ is ______.
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4
JEE Main 2020 (Online) 9th January Morning Slot
Numerical
+4
-0
Change Language
The projection of the line segment joining the points (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2, 3) and (3, –2, 10) is ____________.
Your input ____
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