List of top Mathematics Questions asked in UP Board

A chord of a circle of radius 15 cm subtends an angle of \(60^\circ\) at the centre of the circle. Find the area of the corresponding minor segment. \((\pi = 3.14, \, \sqrt{3} = 1.73)\)
The angle of elevation of the top of a tower from the top of a house whose height is 15 m is \(30^\circ\). Also, the angle of elevation of the top of the tower from the ground of the same house is \(60^\circ\). Find the height of the tower and the distance of the tower from the house.
Rational number will be
The shape of the graph of a quadratic equation $y = ax^2 + bx + c$, $a \neq 0$, will be
If the equation $x^2 - 4x + a = 0$ has no real roots, then
Prove that the angle between the tangents drawn from an external point to a circle is supplementary to the angle formed by the line segment joining the points of contact at the centre of the circle.
In what ratio does the point \((-4, 6)\) divide the line segment joining the points \(A(-6, 10)\) and \(B(3, -8)\)?
Find the roots of the quadratic equation \(3x^2 - 2\sqrt{6}x + 2 = 0\).
If the sum of first \(m\) terms of an A.P. is \(n\) and the sum of first \(n\) terms of the A.P. is \(m\), then find the sum of \((m+n)\) terms.
The distance between the two points (2, 3) and (4, 1) will be
If the difference of two numbers is 26 and one number be three times the other, then find the numbers.
Prove that \(\sqrt{2}\) is an irrational number.
If \(\cot 2A = \tan (A - 22^\circ)\), where \(2A\) is an acute angle, find the value of \(A\).
Find the volume of a copper rod of length 8 cm whose diameter is 1 cm.
Irrational number in the following will be
Find the roots of the quadratic equation \(4x^2 + 9x + 5 = 0.\)
Two friends were born in 2020. Find the probability that the date of birth of both will be same.
Total surface area of a solid hemisphere with radius \(r\) will be
The probability of 53 Mondays in a leap year will be
The mean and median of a frequency table are 27 and 29 respectively. Then its mode will be
Number of parallel tangent lines drawn to the end points of the diameter of a circle will be
The area of the sector of a circle whose angle is \(60^\circ\) and radius \(12 \, \text{cm}\) will be
If \(\tan \alpha = \sin \alpha\), then the value of \(\alpha\) will be
If \(\cot A = \dfrac{3}{4}\), then the value of \(\sec A\) will be
If the diameter of a sphere is \(d\), then its volume will be