1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$\mathbf{a}$ and $\mathbf{b}$ are non-collinear vectors. If $\mathbf{c}=(x-2) \mathbf{a}+\mathbf{b}$ and $\mathbf{d}=(2 x+1) \mathbf{a}-\mathbf{b}$ are collinear vectors, then the value of $x=\ldots \ldots$

A
$\frac{1}{2}$
B
$\frac{1}{4}$
C
$\frac{1}{5}$
D
$\frac{1}{3}$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $X$ be the number of successes in ' $n$ ' independent Bernoulli trials with probability of success $p=\frac{3}{4}$. The least value of ' $n$ ' so that $P(X \geq 1) \geq 0.9375$ is ......

A
2
B
1
C
4
D
3
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The slope of normal to the curve $x=\sqrt{t}$ and $y=t-\frac{1}{\sqrt{t}}$ at $t=4$ is ..........

A
$\frac{-17}{4}$
B
$\frac{4}{17}$
C
$\frac{-4}{17}$
D
$\frac{17}{4}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Which of the following statement pattern is a tautology?

A
$(p \rightarrow q) \vee q$
B
$p \rightarrow(q \vee p)$
C
$(p \vee q) \rightarrow q$
D
$p \vee(q \rightarrow p)$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12