If x = 2 + √3 then find the value of x3/2 + 1/(x3/2) = ?
x = 2 + √3 Then, 1/x = 2 - √3 x+ 1/x = 2 + √3 + 2 - √3 x+ 1/x = 4 Let √x + 1/√x = P Squaring on both sides, we will get x + 1/x + 2 = P2 4+ 2 = P2 So P =√6 hence √x + 1/√x = √6 = N So now (√x)3 + (1/√x)3 = N3-3N = (√6)3-3(√6) = 6√6 - 3√6 = 3√6
If I is the incentre of ΔABC , if ∠ BAC = 650 , then what is the measure of ∠ BIC?
AB and AC are two Chords of a circle with centre O. M and N are the mid points of the chords respectively. The line OM and ON are extended which interse...
The 2nd approximation to a root of the equation x2-x-1-0 in the interval (1, 2) by Bisection method will be:
The area of the largest triangle inscribed in a semi-circle of radius R is-
A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
If two complementary angles are in the ratio of 7:2, find the greater angle.
If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 100˚ then ∠ BAC = ?
∆ ABC is similar to ∆ DEF. If area of ∆ABC is 9 sq.cm and area of ∆DEF is 16 sq.cm and BC = 2.1 cm. Then the length of EF will be