Sub. code 2022
NEB — GRADE X
SET C
Model Question
Optional Mathematics Question Paper SET C (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 C (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.
Points that is touched by the parabola on X-axis:
If and , what is ?
If , what is the value of ?
1
0
D. Which one of the following trigonometric expressions is equal to ?
In which of the following conditions is true?
If equation of the circle is , what is the centre of the circle?
(2,0)
Which one of the following is not the conic?
Circle
Parabola
Ellipse
Cube
What is a single transformation that represents reflection on the line followed by X-axis?
Rotation [O,+90∘]
Rotation [O,−90∘]
Rotation
Rotation
If and be any two vectors, then which one of the following is the value of ?
Which one of the following is the example of continuity in our daily life?
Growth of the height of the children.
Current flow in electric wire.
Movement of a moving bus in smooth road.
All of the above.
What is the range between the first quartile () and the third quartile ()?
Group B
Within Content Area
A polynomial is given.
Write the condition for to be a factor of .
Use the rational root theorem to determine the possible roots of .
Functions and are given.
Find the inverse function .
Convert into and find the vertex of the parabola.
Describe the combined transformation involved to transform the function into .
Matrix is given.
If is a singular matrix, find the value of .
If , find .
Show the common feasible region on the basis of the given constraints , , and on the graph.
Given identity is .
How can you convert the given identity in the form of ?
If , prove that: .
The angle of elevation of the top of the tree from a point on the ground is found to be . Also, the angle of elevation from the point towards the tree from that point is found to be .
Draw a labelled diagram showing the height of the tree, two points on the ground and angles of elevation.
Find the height of the tree.
A conditional identity is given:
Write in terms of sum or difference.
If , verify the given identity.
Write any one possible reason why the given identity is not verified for and .
Any line passes through the points and .
Write the matrix that transforms the point to .
If the line makes angle with the line , find the acute value of .
Equation of the circle is given.
Write the equation of circle in general form.
Find the centre and radius of the given circle.
If one end of the diameter of the given circle is , then find the other end.
Reflection on Y-axis: and reflection on the line : are given.
Transform the with vertices , and by and find the vertices of .
Plot and its image on the same graph paper.
In the given figure alongside, is given. and are the midpoints of the sides and , respectively.
Write the midpoint theorem of vector.
Express in terms of and by using triangle law of vector addition.
Prove by vector method:
The battery life of two brands of mobile phones (iPhone and Samsung) are given in the following box plots.
On the basis of median, which brand has better battery?
Find the coefficient of quartile deviation of both brands.
Based on the information above, which brand of mobile phone would you suggest to buy? Why?
A function is defined as follows:
Define the limit of a function.
Find the nearest value of when and .
Find the value of .
Test the continuity of at .
Group C
Cross Content Area
No questions available.
Paper Overview & Analysis
SET C
Year
Model Question
Type
75
Full Marks
32
Pass Marks
3 Hours
Duration
43
Question Items
Question Type Breakdown
Group Breakdown