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UP Board X
List of top Questions asked in UP Board X
In the following statements, the true statement is :
UP Board X - 2026
UP Board X
Mathematics
Triangles
If the points A (6, 1), B (8, 2), C (9, 4) and D (7, 3) are the vertices of a parallelogram, taken in order, the point of intersection of diagonals will be :
UP Board X - 2026
UP Board X
Mathematics
Coordinate Geometry
The seventeenth term of the A. P. : 3, 8, 13, ... will be :
UP Board X - 2026
UP Board X
Mathematics
Arithmetic Progression
The roots of the quadratic equation $x^2 + 5x + 6 = 0$ will be :
UP Board X - 2026
UP Board X
Mathematics
Quadratic Equations
In linear equation $\frac{x}{3} + \frac{y}{2} = 6$ if $x = 9$ then the value of $y$ will be :
UP Board X - 2026
UP Board X
Mathematics
Linear Equations
The sum of zeroes of the quadratic polynomial $x^2 + 2x + 5$ will be :
UP Board X - 2026
UP Board X
Mathematics
Polynomials
LCM of the numbers 12 and 20 will be :
UP Board X - 2026
UP Board X
Mathematics
Real Numbers
The value of Tan A + Cot A will be :
UP Board X - 2026
UP Board X
Mathematics
Trigonometric Identities
If tan A = √3, then the value of Sec A will be :
UP Board X - 2026
UP Board X
Mathematics
Trigonometry
HCF of the numbers 49 and 91 will be :
UP Board X - 2026
UP Board X
Mathematics
Real Numbers
LCM and HCF of two numbers are 182 and 13 respectively. If one number is 26, then other number will be :
UP Board X - 2026
UP Board X
Mathematics
Real Numbers
What is a Redox reaction? Explain with a balanced chemical equation.
UP Board X - 2026
UP Board X
Science
Chemical Reactions
Write the chemical name, formula, and two main uses of Plaster of Paris.
UP Board X - 2026
UP Board X
Science
Acids, Bases And Salts
What is the difference between Roasting and Calcination? Give one example of each.
UP Board X - 2026
UP Board X
Science
Metals and Non-Metals
Explain the mechanism of Pulmonary Circulation (Double Circulation) in the human heart.
UP Board X - 2026
UP Board X
Science
Life Processes
How is the sex of a child determined in humans? Explain using a flow chart.
UP Board X - 2026
UP Board X
Science
Heredity and Evolution
State Mendel’s Law of Dominance and explain it with a monohybrid cross.
UP Board X - 2026
UP Board X
Science
Heredity and Evolution
What is the Ozone Layer, and how is it getting depleted?
UP Board X - 2026
UP Board X
Science
Natural Resources
Define Ohm’s Law and describe an experiment to verify it.
UP Board X - 2026
UP Board X
Science
Electricity
State Fleming’s Left-Hand Rule and explain its application in an electric motor.
UP Board X - 2026
UP Board X
Science
Magnetic Effects Of Electric Current
Calculate the equivalent resistance of three resistors \( R_1, R_2, R_3 \) connected in parallel.
UP Board X - 2026
UP Board X
Science
Electricity
If \( \tan(A + B) = \sqrt{3} \) and \( \tan(A - B) = \frac{1}{\sqrt{3}} \), find the values of \( A \) and \( B \).
UP Board X - 2026
UP Board X
Mathematics
Trigonometric Identities
Prove the identity: \(\displaystyle \frac{\cos A}{1 + \sin A} + \frac{1 + \sin A}{\cos A} = 2 \sec A.\)
UP Board X - 2026
UP Board X
Mathematics
Trigonometric Identities
A 1.5 m tall boy is standing at some distance from a 30 m tall building; find the distance he walked towards the building if the angle of elevation of the top increases from \(30^\circ\) to \(60^\circ\).
UP Board X - 2026
UP Board X
Mathematics
Trigonometric Identities
Prove that the lengths of tangents drawn from an external point to a circle are equal.
UP Board X - 2026
UP Board X
Mathematics
Circles
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