SEQUENCE - L9

L-6 to L-9

Sequence & Series - L3

Sequence & Series - L4

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 = ?

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.

If 'Q' means '+', 'L' means '×', 'T' means ' div ', 'Z' means '–', then 17 Q 4 T 9 L 18 = ?