Let the system of linear equations4x + $\lambda$y + 2z = 0 ,2x $-$ y + z = 0 , $\mu$x + 2y + 3z = 0, $\lambda$, $\mu$$\in$R. has a non-trivial solution. Then which of the following is true?

1

If 15sin4$\alpha$ + 10cos4$\alpha$ = 6, for some $\alpha$$\in$R, then the value of 27sec6$\alpha$ + 8cosec6$\alpha$ is …

Topic: JEE Main 2021 (18 March Evening Shift)

1

The area bounded by the curve 4y2 = x2(4 $-$ x)(x $-$ 2) is equal to :

Topic: JEE Main 2021 (18 March Evening Shift)

2

If 15sin4$\alpha$ + 10cos4$\alpha$ = 6, for some $\alpha$$\in$R, then the value of 27sec6$\alpha$ + 8cosec6$\alpha$ is…

Topic: JEE Main 2021 (18 March Evening Shift)

3

Let $\overrightarrow a $ and $\overrightarrow b $ be two non-zero vectors perpendicular to each other and $|\overrighta…

Topic: JEE Main 2021 (18 March Evening Shift)

4

Let a complex number be w = 1 $-$ ${\sqrt 3 }$i. Let another complex number z be such that |zw| = 1 and arg(z) $-$ arg(…

Topic: JEE Main 2021 (18 March Evening Shift)

5

Let \; f:\mathbb{R}\to\mathbb{R} \text{ be defined as} \[ f(x) = \begin{cases} \dfrac{\sin\!\big((a+1)x\big)+\sin 2x}{2…

Topic: JEE Main 2021 (18 March Evening Shift)

6

Let g(x) = $\int_0^x {f(t)dt} $, where f is continuous function in [ 0, 3 ] such that ${1 \over 3}$ $ \le $ f(t) $ \le …

Topic: JEE Main 2021 (18 March Evening Shift)

7

Let in a series of 2n observations, half of them are equal to a and remaining half are equal to $-$a. Also by adding a …

Topic: JEE Main 2021 (18 March Evening Shift)

8

In a triangle ABC, if $|\overrightarrow {BC} | = 8,|\overrightarrow {CA} | = 7,|\overrightarrow {AB} | = 10$, then the …

Topic: JEE Main 2021 (18 March Evening Shift)

9

Define a relation R over a class of n $\times$ n real matrices A and B as "ARB iff there exists a non-singular matrix P…

Topic: JEE Main 2021 (18 March Evening Shift)

10

Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be a…

Topic: JEE Main 2021 (18 March Evening Shift)