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The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and Q(0, 3/ 2) are two points on the sides OA and OB respectively of ∆OAB, where O is the origin of the coordinate system. Given that AB = 10 cm, then PQ =

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Important Questions on Solution of Linear Simultaneous Equation

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

\sqrt{\frac{x}{y}} = \frac{24}{5} + \sqrt{\frac{y}{x}}

and

x + y = 26

, then what is the value of

x y ?

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

What is the value of

u

in the system of equations

3 (2 u + v) = 7 u v, 3 (u + 3 v) = 11 u v

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

The pair of linear equation

k x + 3 y + 1 = 0 and 2 x + y + 3

intersect each other, if

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

What is the point on the xy-plane satisfying

5 x + 2 y = 7 x y and 10 x + 3 y = 8 x y

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

x, y, z

are three integers such that

x + y = 8

y + z = 13

and

z + x = 17

, then the value of

\frac{x^{2}}{y z}

is:

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

65 x - 33 y = 97

and

33 x - 65 y = 1

, then what is

xy

equal to?

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

The non-zero solution of the equation

\frac{a - x^{2}}{b x} - \frac{b - x}{c} = \frac{c - x}{b} - \frac{b - x^{2}}{c x}

, where

b \neq 0, c \neq 0

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

P and Q are two examination halls. If

10

examinees are sent from P into Q, the number of examinees becomes equal in both the halls. If

20

examinees are transferred from Q into P, the number of examinees becomes double in P in comparison with Q. What is the number of examinees in each P and Q separately ?

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

The graph of the equation

5 x - 2 y + 1 = 0

and

4 y - 3 x + 5 = 0,

intersect at the point

P (α, β)

. What is the value of

(2 α - 3 β)

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

The point of the intersection of the graph of the equations

3 x - 5 y = 19

and

3 y - 7 x + 1 = 0

P (α, β)

. What is the value of

(3 α - β)

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

It is given that the equations

x^{2} - y^{2} = 0

and

(x — a)^{2} + y^{2} = 1

have single positive solution. For this, the value of ‘

a

’ is

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

How many solutions will a pair of linear equations have, if the equations are

4 x + 5 y - 6 = 0

and

16 x + 20 y + 20 = 0

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

How many integral values of

x and y

satisfy the equation

5 x + 9 y = 7

, where

- 500 < x < 500 and - 500 < y < 500 ?

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

Consider the following statements:

If $x$ is directly proportional to $z$ and $y$ is directly proportional to $z$ , then $(x^{2} - y^{2})$ is directly proportional to $z^{2}$ .
If $x$ is inversely proportional to $z$ and $y$ is inversely proportional to $z$ , then $(x y)$ is inversely proportional to $z^{2}$ .

Which of the above statements is/are correct?

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Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

A number of two digits is equal to '

k

' times to the sum of these digits. If the places of these digits are mutually exchanged. the newly formed number is equal to the sum of these digits multiplied by which one of the following options ?

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

The cost price of

3

exam pads and

2

pencils is

₹ 96 . 4

exam pads and

3

pencils cost

₹ 134

. Find total cost (in

₹

) of an exam pad and that of a pencil.

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

x

and

y

are positive integers and

\frac{3 x}{y} = 4,

then find the minimum value of

(3 x + 4 y)

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

The graph of the equations

2 x + 3 y = 11

and

x - 2 y + 12 = 0

intersects at

P (x_{1}, y_{1})

and the graph of the equation

x - 2 y + 12 = 0

intersects the

x -

axis at

Q (x_{2}, y_{2})

. What is the value of

(x_{1} - x_{2} + y_{1} + y_{2})

EASY

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

Find the value of

x

after solving the following equation.

0.12 \times (5 x - 4) = 0.5 x + 0.8

MEDIUM

Mathematics>Algebra>Solution of Linear Simultaneous Equation>Solution of Simultaneous Linear Equation

Find the number of solutions of a pair of linear equation

4 x - 9 y + 13 = 0

and

2 x + 3 y - 13 = 0

The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and Q(0, 3/ 2) are two points on the sides OA and OB respectively of ∆OAB, where O is the origin of the coordinate system. Given that AB = 10 cm, then PQ =

Important Questions on Solution of Linear Simultaneous Equation

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