1
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If for some $$\alpha $$ and $$\beta $$ in R, the intersection of the following three places
x + 4y – 2z = 1
x + 7y – 5z = b
x + 5y + $$\alpha $$z = 5
is a line in R3, then $$\alpha $$ + $$\beta $$ is equal to :
A
-10
B
0
C
10
D
2
2
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 _____.
Your input ____
3
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 _______.
Your input ____
4
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 ______.
Your input ____
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