KVS MATHS QUIZ 58 (LINEAR EQUATION)

Question 1:

For what value (s) of $\mathrm{k}$, do the two equations $\mathrm{kx}+\mathrm{y}=2$ and $\mathrm{x}+\mathrm{ky}=1$ have no unique solutions?

$\pm 1$

$\pm 3$

$\pm 2$

$\pm 5$

Question 2:

The product of the distinct roots of |x2 - x - 6| = x + 2 is

-4

-16

-8

-24

Question 3:

Maximum value of $\left(3-6 x-8 x^{2}\right)$

is -

$\frac{33}{8}$

$\frac{13}{8}$

$\frac{43}{8}$

$\frac{85}{16}$

Question 4:

Find the roots of the equation $x^{2}-21 x+38=0 ?$

2,19

17,2

2,17

18,5

Question 5:

The number of real roots for the equation $x^{2}+9(x)+20=0$ is

Zero

One

Two

Three

Question 6:

What are the roots of the equation $\left|\mathrm{x}^{2}-\mathrm{x}-6\right|=\mathrm{x}+2 ?$

$-2,1,4$

$0,2,4$

$0,1,4$

$-2,2,4$

Question 7:

The number of solutions of the equation $|y-2|^{2}+|y-2|-6=0$ where $y>0$ will be

4

2

1

3

Question 8:

The quadratic equation $3 x^{2}-\left(\mathrm{k}^{2}+5 \mathrm{k}\right) x+3 \mathrm{k}^{2}$ $-5 \mathrm{k}=0$ has real roots of equal magnitude and opposite in sign. In which of the following interval $\mathrm{k}$ lie?

$\frac{3}{2} < k < \frac{5}{3}$

$0 < k < \frac{5}{3}$

$0 < k < \frac{2}{5}$

$\frac{1}{2} < k < \frac{5}{2}$

Question 9:

What is the largest positive integer such that (n^2+7n+12)/(n^2−n−12) is also positive integer?

6

8

16

12

Question 10:

In the following question two equations are given in variables $\mathrm{X}$ and $\mathrm{Y}$. You have to solve these equations and determine the relation between $X$ and $Y$.

I. $2 x+3 y=52$

II. $5 x-2 y=16$

$\mathrm{X}>\mathrm{Y}$

$\mathrm{X}<\mathrm{Y}$

$\mathrm{X} \geq \mathrm{Y}$

$X \leq Y$