1
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Out of Syllabus
Change Language
Let a plane P contain two lines
$$\overrightarrow r = \widehat i + \lambda \left( {\widehat i + \widehat j} \right)$$, $$\lambda \in R$$ and
$$\overrightarrow r = - \widehat j + \mu \left( {\widehat j - \widehat k} \right)$$, $$\mu \in R$$
If Q($$\alpha $$, $$\beta $$, $$\gamma $$) is the foot of the perpendicular drawn from the point M(1, 0, 1) to P, then 3($$\alpha $$ + $$\beta $$ + $$\gamma $$) equals _______.
Your input ____
2
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Change Language
If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal to 2nd G.M., then m is equal to _________ .
Your input ____
3
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Change Language
Let S be the set of all integer solutions, (x, y, z), of the system of equations
x – 2y + 5z = 0
–2x + 4y + z = 0
–7x + 14y + 9z = 0
such that 15 $$ \le $$ x2 + y2 + z2 $$ \le $$ 150. Then, the number of elements in the set S is equal to ______ .
Your input ____
4
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Out of Syllabus
Change Language
If the tangent to the curve, y = ex at a point (c, ec) and the normal to the parabola, y2 = 4x at the point (1, 2) intersect at the same point on the x-axis, then the value of c is ________ .
Your input ____
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