Question

29.
Find the value of ta' when the lines represented by the following equations are coincident:
(b) 2ax2 - 2V3xy + ay2=0
(b) (a - 1)x2 - (5a +3)xy +(10a - 1)y2 =0
Find the separate equations of the straight lines represented by the following equations and also find
the angle between them:
(a) 3x2 + 7xy + 4y2 = 0
(b) x2 + 2xy sec 0 + y2 = 0
(c) x2 - 2xy cot 0 - y2 = 0
(d) 2x2 - 5xy + 3y2 + 7x - 10y + 3 = 0
Find the separate equations when the lines represented by the following equations are perpendicular
to each other:
(a) 3x2 + 8xy - ky2 = 0
(b) x²– ky² + 3x – 3y=0
9. Find the separate equations when the lines represented by the following equations are coincident:
(a) 4x2 + 2kxy + y2 – 2x - y=0, keN (b) (2p+3)x² + 2pxy + y2 + 3x + y - 2 = 0, peN
10. Find the single equation of the straight lines passing through the origin and orthogonal to the given
lines represented by the following equations:
(a) 3x2 + 8xy + 4y2 = 0
(b) 8x2 - 14xy + 3y2 = 0
(c) 2x2 - 5xy - 3y2 - x + 3y = 0
(d) x2 - y2 + 2y - 1 = 0
11. Find the single equation of the straight lines passing through the point (-1, 2) and parallel to the lines
represented by the following equations:
(a) 2x2 - xy - 3y2 = 0
(b) x2 – 3xy + 2y2 + 2x - 4y = 0
(11) and perpendicular to the​

Answer 1

Answer:

ax3+bx2y+cxy2+dy3=0 ...(1). is a homogeneous equation of third degree is x and y. It, therefore, represents three straight lines through the ...

Top answer

a x^3 + bx^2y + cxy^2 + dy^3 = 0 ...(1)is a homogeneous equation of third degree is x and y . It, therefore, represents three straight lines through ... More