UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 22nd December 2020. Important news and views to... View Article
We have to factorise x2 + x - 6 x2 + x - 6 Find two factors of -6 whose sum equals the coefficient of the middle term, which is 1. x2 - 2x... View Article
A centimetre is a unit of length in the International System of Units (SI), the current form of the metric system. It is defined as 1/5 meters.... View Article
sin x = 1 so we need to find the value of x The principal solution for this case will be x = 0, π, 2π as these values satisfy the given... View Article
We have to find the value of 82/3 We know that 8 can be expressed in the power of 2 8 = 2 X 2 X 2 8 = 23 Hence the given number becomes 82/3 =... View Article
sin A = 2/3 We have, sin A = 2/3 ……..….. (1) As we know, by sin definition; sin A = Perpendicular/ Hypotenuse = 2/3 ….(2) By comparing eq.... View Article
We need to evAluAte sin (180-x) We can evaluate sin (180-x) using the trigonometric identity sin (A - B) = sin A.cos B - sin B.cos Asin (180... View Article
Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an... View Article
Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an... View Article
We have to solve by substitution x+y=2 and 3x+2y=5 x+y=2---------(i) 3x+2y=5--------(ii) From equation (i)we get x = 2-y Substituting the... View Article
The factorial of a number, N, is equal to the product of all positive integers less than and equal to N. N! = N x (N-1) x (N-2) x … x 3 x... View Article
We have to evaluate i3 i3 can be expressed as i . i. i From the identity of complex numbers we have learnt that i2=-1 Substituting the value... View Article
We have to find the value of 93/2 We know that 9 can be expressed in the power of 3 9= 3 x 3 9 = 2 Hence the given number becomes 93/2 =... View Article