Sub. code 2022
NEB — GRADE X
SET B
Model Question
Optional Mathematics Question Paper SET B (Model Question)
The candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Pass Marks : 32
सबै प्रश्नको उत्तर दिनुहोस् । (Attempt All Questions)
This model question question paper is for Class 10 Optional Mathematics, SET B (subject code 2022), carrying full marks of 75 with a pass mark of 32, to be completed within 3 Hours. Answers with step-by-step solutions are available for every question below.
Group A
Objective Questions
For the parabola , the point is ..........
maximum point
minimum point
vertex
both (a) and (c)
Under what condition of the following is the inverse of the function defined?
is one to one function.
is onto function.
is one to one into function.
is one to one onto function.
Which of the following correctly expresses ?
Which one of the following is the product form of ?
If , then which one of the following is the value of ?
If the equation of the circle is , in which quadrant does the centre of the circle lie?
First
Second
Third
Fourth
Two lines are perpendicular with each other. If slope of a line is , what is the slope of the other line?
Which one of the following is the combined transformation by the reflection on the line followed by the rotation about origin through half turn?
Reflection on the line
Reflection on the line
Rotation of
Rotation of
Which one of the following is the geometric meaning of ?
Both (a) and (b)
Neither (a) nor (b)
Which is the point at which curve in the given figure is discontinuous?
0
5
None of the above
Which one of the following is not the measure of dispersion?
Range
Quartile deviation
Standard deviation
Median
Group B
Within Content Area
A polynomial is given.
Write the condition that is not a factor of but is a factor.
Find the possible roots of using rational root theorem.
and are the given functions.
Find the composite function .
Convert in terms of .
Find the vertex and line of symmetry of the parabola formed by .
Matrix is given.
Find .
If is an identity matrix of order , find .
Solve:
Given identity is .
How can you convert the given identity in the form of ?
If , on the basis of , prove that: .
From the top of the tower 24 m high, the angles of depression of the top and the foot of a pole are observed to be and , respectively.
Draw a labelled diagram showing the height of the tower, pole and angles of depression.
Find the height of the pole.
A conditional identity is given.
Write in the form of a product.
If , and verify the given identity.
If , and , state any one reason that why the given identity cannot be verify by , and .
Any line passes through and .
Write the matrix that transforms the point into .
If be the acute angle between line and , find the value of
A diagram of a circle touching both axes is shown alongside.
Find the centre and radius of the circle when the centre 'C' lies at a distance of 3 units from Y-axis.
Find the equation of the circle.
Find the equation of the circle with centre at and touching the Y-axis only.
Paper Overview & Analysis
SET B
Year
Model Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
31
Question Items
Question Type Breakdown
Group Breakdown