EASY

Earn 100

Define logic and explain three types of logical reasoning.

Important Questions on Logic

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of

x

in each system.

2 x - y = 2 4 x - y = 8

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Draw the graphs of

x - y + 1 = 0

and

3 x + 2 y - 12 = 0

. Determine the coordinates of the vertices of the triangle formed by these lines and

x

-axis and shade the triangular area. Calculate the area bounded by these lines and

x

-axis.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve the following system of equations graphically:
Shade the region between the lines and the

y

-axis,

4 x - y = 4 3 x + 2 y = 14

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of

x

in each system.

2 x + y = 6 x - 2 y = - 2

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Draw the graphs of the following equations:

2 x - 3 y + 6 = 0 2 x + 3 y - 18 = 0 y - 2 = 0

Find the vertices of the triangle so obtained. Also, find the area of the triangle.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Draw the graph of the lines

x = - 2

and

y = 3

. Write the vertices of the figure formed by these lines, the

x

-axis and the

y

-axis. Also, find the area of the figure.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve graphically the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of

x

in each system.

x + 2 y = 5 2 x - 3 y = - 4

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are

y = x, y = 2 x

and

y + x = 6

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve the following system of linear equation graphically and shade the region between the two lines and

x

-axis:

3 x + 2 y - 11 = 0 2 x - 3 y + 10 = 0

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Draw the graph of the pair of linear equations

x - y + 2 = 0

and

4 x - y - 4 = 0

. Calculate the area of the triangle formed by the lines so drawn and the

x

-axis.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of

x

in each system.

2 x + y = 6 x - 2 y = - 2

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Draw the graphs of the following equations on the same graph paper.

2 x + 3 y = 12, x - y = 1

Find the coordinates of the vertices of the triangle formed by the two straight lines and the

y

-axis.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Determine, graphically, the vertices of the triangle formed by the lines

y = x, 3 y = x, x + y = 8 .

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve graphically the system of linear equations:

4 x - 3 y + 4 = 0 4 x + 3 y - 20 = 0

Find the area bounded by these lines and

x

-axis.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Form the pair of linear equations in the following problems, and find their solution graphically:

10

students of class

X

took part in Mathematics quiz. If the number of girls is

4

more than the number of boys, find the number of boys and girls who took part in the quiz.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve the following system of linear equation graphically and shade the region between the two lines and

x

-axis:

2 x + 3 y = 12 x - y = 1

EASY

Mathematics>Geometry>Logic>Geometrical Deductions

Find the values of

k

for which the line

(k - 3) x - (4 - k^{2}) y + k^{2} - 7 k + 6 = 0

is passing through the origin.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve the following system of linear equations graphically.

4 x - 5 y - 20 = 0 3 x + 5 y - 15 = 0

Determine the vertices of the triangle formed by the lines representing the above equation and the

y

-axis.

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are

y = x, y = 2 x

and

y + x = 8

MEDIUM

Mathematics>Geometry>Logic>Geometrical Deductions

Solve the following system of linear equation graphically and shade the region between the two lines and

x

-axis:

3 x + 2 y - 4 = 0 2 x - 3 y - 7 = 0

Define logic and explain three types of logical reasoning.

Important Questions on Logic

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