`18-9`=.........

18pq-15pq-9pq=........

Show that (4)/(12.18) - (4.7)/(12.18.24) + (4.7.10)/(12.18.24.30) - …..= 3 root(3) (9/4) - 47/12

The length of the conjugate axis of the hyperbola 9x^(2) -16y^(2) - 18x -64y + 89 =0 is

(18^3+7^3+3.18. 7. 25)/(3^6 +6.243.2+15.81.4+20.27.8+15.9.16+6.3.32+64)=

9^2xx9^18xx9^10 = _____________

Simplify the following using laws of exponents : 9^2 xx 9^18 xx 9^10 .

If x=9 is the chord of contact of tangents of x^(2)-y^(2)=9 , then show that the equation of corresponding tangents is 9x^(2)-8y^(2)-18x+9=0

If sum_(i=1)^(18)(x_(i)-8)=9 and sum_(i=1)^(18)(x_(i)-8)^(2)=45 then find the standard deviation of x_1 , x_2, ....,x_(18)

The coordinates of the feet of the perpendicular from the vertices of triangle on the opposite sides are (20,25),(8,18) and(8,9). The coordinates of a vertex of the triangle are