Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangent is
L-9 to L-11
Consider a regular 10-gon with its vertices on the unit circle. With one vertex fixed, draw straight lines to the other 9 vertices. Call them L_1 , L_2 ,…, L_9 and denote their lengths by l_1 ,l_2 ,…, l_9 respectively. Then the product l_1 , l_2,...,l_9 is
The locus of the point of trisection of all the double ordinates of the parabola y^(2)=lx is a parabola whose latus rectum is - (A) (l)/(9)(B)(2l)/(9) (C) (4l)/(9) (D) (l)/(36)
Consider a regular 10-gon with its vertices on the unit circle. With one vertex fixed, draw straight lines to the other 9 vertices. Call them L_(1), L_(2), ….L_(9) and denote their lengths by l_(1), l_(2)….l_(9) respectively. Then the product l_(1)l_(2)....l_(9) is
If 13 L 4 A 7 = 41 and 14 A 3L 12 = 54 , then 12 L 3 A9 = ?
Find the L.C.M. of 6 and 9.
Line L_(1) is parallel to the line L_(2). Slope of L_(1) is 9. Also L_(3), is parallel to L_(4) .Slope of L_(4) is (1)/(-25) All these lines touch the ellipse (x^(2))/(25)+(y^(2))/(9)=1. Find the area of the parllelogram formed by these lines.
Let A={n in N : n is a 3- digit number } B={ 9k +2 : k in N} and C= { 9k +l : K in N } for some l (0 lt l lt 9) if the sum of all the elements of the set A nn (B uu C) is 274 xx 400 , then l is equal to ______.
