1
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

Four points P(0, 1), Q(0, $$-$$3), R($$-$$2, $$-$$1), and S(2, $$-$$1) represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?

A
4
B
$$4\sqrt 2 $$
C
8
D
$$8\sqrt 2 $$
2
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33
p and q are positive integers and $${p \over q} + {q \over p} = 3$$, then $${{{p^2}} \over {{q^2}}} + {{{q^2}} \over {{p^2}}}$$ =
A
11
B
3
C
9
D
7
3
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 yeas ago?
A
9,92,500
B
9,95,006
C
12,51,506
D
10,00,000
4
GATE ECE 2020
MCQ (Single Correct Answer)
+1
-0.33

A superadditive function $f(\cdot)$ satisfies the following property

$$ f\left(x_1+x_2\right) \geq f\left(x_1\right)+f\left(x_2\right) $$

Which of the following functions is a superadditive function for $x>1$ ?

A

$\sqrt{x}$

B

$e^x$

C

$\frac{1}{x}$

D

$e^{-x}$

GATE ECE Subjects

Browse all chapters by subject