If sin(α + β) = 1 then cos(α - β) can be reduced to ___________

If the data is multiplied by 4, then the corresponding variances is get multiplied by ___________

A floating boat having a length 3m and breadth 2m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is (density of water is 10000 kg/m³)

A solid frustum is of height 8 cm. If the radii of its lower and upper ends are 3 cm and 9 cm respectively, then its slant height is ___________

Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________

If the points (0, 0), (a, 0) and (0, b) are collinear, then ____________

In figure \(\angle OAB={ 60 }^{ o }\) and OA = 6cm then radius of the circle is ____________

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

If P and Q are matrices, then which of the following is true?

A Quadratic polynomial whose one zero is 5 and sum of the zeroes is 0 is given by ___________

Graphically an infinite number of solutions represents ___________

In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

The first term of an A.P. whose 8^th and 12^th terms are 39 and 59 respectively is ____________

If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________

If f(x) = x + 1 then f(f(f(y + 2))) is ___________

IF the probability of the non-happening of a event is q, then the probability of happening of that event is 

A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

9 sec²A - 9tan²A = ___________

Sin(45^o+ θ ) - cos(45^o - θ) is equal to ___________

If cos (∝ - β) =, then sin (∝ - β)  can be reduced to ___________