Consider the following two statements:
$I$. Any pair of consistent linear equations in two variables must have a unique solution.
$II$. There do not exist two consecutive integers,the sum of whose squares is $365$.
Then,

  • A
    both $I$ and $II$ are true
  • B
    both $I$ and $II$ are false
  • C
    $I$ is true and $II$ is false
  • D
    $I$ is false and $II$ is true

Explore More

Similar Questions

If the quadratic equation $3x^2 + (2k + 1)x - 5k = 0$ has real and equal roots,then the value of $k$ such that $-\frac{1}{2} < k < 0$ is

If for real values of $x$,$\cos \theta = x + \frac{1}{x}$,then

The smallest positive integral value of $a$,for which all the roots of $x^4 - ax^2 + 9 = 0$ are real and distinct,is equal to

$2+\sqrt{5}$ and $1$ are roots of the cubic equation given by

If $a < b < c < d$,then what is the nature of the roots of the equation $(x - a)(x - c) + 2(x - b)(x - d) = 0$?

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo