List of top Mathematics Questions

In the figure \(OB = 13\) cm, \(OP⊥AB\), \(OP=12\) cm then \(AB =\)

The radius of a cone is 7 m and its height is 10 m. Then its slant height is______

The angle of elevation of the top of a tower, whose height is 100 m, at a point whose distance from the base of the tower is 100 m is

The angle at tangent to a circle and the radius drawn at the point of contact is

If a parallelogram is cyclic, then it is a _____

If a two digit number is choosen at random then the probability that number choosen is a multiple of 3

P(x)+P("not x") =

In the\( ∆ABC; D, E\) and \(F\) are the mid points of the sides \(BC, CA\) and \(AB.\) Then area of \(∆DEF:\) area of \(∆ABC=\)_____

In the given figure \(∠BAC = 90^ \degree\),\( AD ⊥ BC, BD=9\) cm and \(CD=16\) cm then \(AC=?\)

If \(\cot \theta = \frac{b}{a}\) then \(\frac{\cos \theta + \sin \theta}{\cos \theta - \sin \theta}\)=

The value of \(\frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ}=\)

How many two digit numbers are divisible by 7?

The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is

A={C,O,V,I, D, 19, 2020}, B={C,O,V,I, D, 19, 2021} then B-A=?

The roots of \(x^2+x-6=0\) are

If \(α, ẞ\) are the roots of a quadratic equation \( ax^2 + bx+c=0, a ≠0\) then \(\frac{1}{\alpha} + \frac{1}{\beta}\)=___

If \(x^2+kx+1=0\) has a root x=1 then k=____

If the roots of the quadratic equation \(ax^2 + bx+c=0\) are \(sin α\) and \(cos α\), then \(1+2\frac{c}{a}=\)

\(\frac{1}{\sqrt{2}}\) is ______ .

The centre of a circle with (1, 2) and (7, -4), as end points of the diameter is

Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube then the length of the edge of the new cube is

A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m cross at the bottom. It is 6 m deep then its capacity is

If 7x-5y=2 and 3x+y=4, then x=?

Mode of A, B, C, D,.........., Z is

From the figure, \(θ=\)