List of top Mathematics Questions asked in UP Board X

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.
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.
In what ratio does the point \((-4, 6)\) divide the line segment joining the points \(A(-6, 10)\) and \(B(3, -8)\)?
If \(\cot 2A = \tan (A - 22^\circ)\), where \(2A\) is an acute angle, find the value of \(A\).
If the difference of two numbers is 26 and one number be three times the other, then find the numbers.
The distance between the two points (2, 3) and (4, 1) will be
Prove that \(\sqrt{2}\) is an irrational number.
Find the volume of a copper rod of length 8 cm whose diameter is 1 cm.
Find the roots of the quadratic equation \(4x^2 + 9x + 5 = 0.\)
Irrational number in the following will be
The mean and median of a frequency table are 27 and 29 respectively. Then its mode will be
Total surface area of a solid hemisphere with radius \(r\) will be
Two friends were born in 2020. Find the probability that the date of birth of both will be same.
The probability of 53 Mondays in a leap year will be
If the ratio of the length of a rod and its shadow is \(1 : \sqrt{3}\), the elevation angle of the sun will be
The distance of the point \((-3, -4)\) from the origin will be
The area of the sector of a circle whose angle is \(60^\circ\) and radius \(12 \, \text{cm}\) will be
If the diameter of a sphere is \(d\), then its volume will be
If \(\cot A = \dfrac{3}{4}\), then the value of \(\sec A\) will be
If \(\tan \alpha = \sin \alpha\), then the value of \(\alpha\) will be
Number of parallel tangent lines drawn to the end points of the diameter of a circle will be
The sum of zeroes of the polynomial \(3x^2 + 5x + 2\) will be
There will be no solution of the equations \(2x + ay = 1\) and \(3x - 5y = 7\) if the value of \(a\) is
10th term from the end of the A.P. \(4, 9, 14, \ldots, 254\) will be