If the angle of elevation of a tower from a distance of 100 m from its foot is 60^o, then the height of the tower is ____________

If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________

In a triangle, the internal bisector of an angle bisects the opposite side. Find the nature of the triangle.

In the given figure DE||BC:BD = x - 3, BA = 2x,CE = x- 2, and AC = 2x + 3, Find the value of x.

Graphically an infinite number of solutions represents ___________

If n( A ) = p, n( B ) = q then the total number of relations that exist between A and B is ___________

Three Numbers a, b and c will be in A.P. If and only if ____________

The height of a right circular cone whose radius is 3 cm and slant height is 5 cm will be ___________

The value of (tan1^o tan2^o tan3^o..... tan89^o) is ___________

Variance of first 20 natural numbers is

A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to

a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p²- q² is equal to 

7^4k \(\equiv \) ________ (mod 100)

The slope of the line joining (12, 3), (4, a) is \(\frac 18\). The value of ‘a’ is

The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

A shuttle cock used for playing badminton has the shape of the combination of

If the radius of the base of a cone is tripled and the height is doubled then the volume is

If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a, b) is

y² + \(\frac {1}{y^{2}}\) is not equal to

Relations are subsets of __________; Functions are subsets of ____________