SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 8

EASY

UPSC CDS

IMPORTANT

Earn 100

The system of a pair of linear equations $a_{1} x + b_{1} y$ , $+ c_{1} = 0$ and $a_{2} x + b_{2} x + b_{2} y + c_{2} = 0$ has an infinite number of solutions if

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Important Questions on Graphic Representation of Straight Lines

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 9

If

2 x + 3 y = k

and

4 x + 6 y = 8

are the equations of two parallel lines then which of the followings is correct?

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 10

If straight line

3 x + 5 y = 24

intersects

x

-axis at any point then co-ordinates of that point is

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 11

If graph of the equation

4 x + 3 y = 12

intersect the coordinate axes at the points

A

and

B

then the length of hypotenuse of

∆ A O B

is :

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 12

The area of

Δ

formed by

y

-axis,

x - y = 1

and

2 x + y = 8

is :

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 13

For which value of

k

, the polynomial

2 x^{4} + 3 x^{3} + 2 k x^{2} + 3 x + 6

is completely divisible by

x + 2 ?

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 14

If point

(3, 4)

is situated on the graph of equation

3 y = a x + 7

then the value of

a

is :

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 15

What will be the area of that

Δ

which is formed by

x

axis and lines of equations

2 x + y = 6 & 2 x - y + 2 = 0

.

EASY

UPSC CDS

IMPORTANT

SSC Advanced Maths Volume - I>Chapter 7 - Graphic Representation of Straight Lines>Model Questions>Q 16

For which value of

a; (x - a)

is a factor of polynomial

f (x) = x^{5} - a^{2} x^{3} + 2 x + a - 3 ?