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In the figure, the two straight lines L;:x- 3y + 18 = 0 and L:5x- 3y+ k = 0 intersect at P. L, cuts the y-axis at A, L, cuts the %3D x-axis at B and OA = OB. (a) Find the value of k. (b) Find the ratio of the area of AOAP to that of AOBP.

In the figure, the two straight lines L;:x- 3y + 18 = 0 and L:5x- 3y+ k = 0 intersect at P. L, cuts the y-axis at A, L, cuts the %3D x-axis at B and OA = OB. (a) Find the value of k. (b) Find the ratio of the area of AOAP to that of AOBP.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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and BD intersect at M. (a) Find the coordinates of M. M (b) (i) Find the equation of BD. (ii) Hence, find the coordinates of B. (c) Using the results of (a) and (b), or otherwise, find the coordinates of D. C(5, -2) In the figure, the two straight lines L;:x – 3y+ 18 = 0 and L:5x - 3y+k = 0 intersect at P. L, cuts the y-axis at A, L, cuts the 38. y L2: 5x – 3y+ k= 0 x-axis at B and OA = OB. P. (a) Find the value of k. (b) Find the ratio of the area of AOAP to that of AOBP. 8 lo L:x-3y+ 18 = 0 B In the figure, the two straight lines L:2x + y -93D0 and L, are perpendicular to each other, and intersect at P(a, 5). L, cuts the y-axis 39. y L: 2x + y-9 = 0 at B. (a) (i) Find the value of a. P(a, 5) (ii) Find the equation of L,. () Another straight line L2 passes through B and cuts the x-axis at A. B which is vertically below P. (i) Find the coordinates of A and B. (ii) Find the equation of L2. pla
Transcribed Image Text:and BD intersect at M. (a) Find the coordinates of M. M (b) (i) Find the equation of BD. (ii) Hence, find the coordinates of B. (c) Using the results of (a) and (b), or otherwise, find the coordinates of D. C(5, -2) In the figure, the two straight lines L;:x – 3y+ 18 = 0 and L:5x - 3y+k = 0 intersect at P. L, cuts the y-axis at A, L, cuts the 38. y L2: 5x – 3y+ k= 0 x-axis at B and OA = OB. P. (a) Find the value of k. (b) Find the ratio of the area of AOAP to that of AOBP. 8 lo L:x-3y+ 18 = 0 B In the figure, the two straight lines L:2x + y -93D0 and L, are perpendicular to each other, and intersect at P(a, 5). L, cuts the y-axis 39. y L: 2x + y-9 = 0 at B. (a) (i) Find the value of a. P(a, 5) (ii) Find the equation of L,. () Another straight line L2 passes through B and cuts the x-axis at A. B which is vertically below P. (i) Find the coordinates of A and B. (ii) Find the equation of L2. pla
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