The angle between the lines `x - 2y = 4 and y-2x = 5` is given by: (a) `tan = (1/4)` (b) `tan =(3/5)` (c) `tan = (5/4)` (d) None of these.​

If the angle between the lines 3x^(2)-4y^(2)=0 is tan^(-1)k , then k=

The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)4/3 (b) tan^(-1)3/4 (c) 90o (d) 45o

The equation of the bisector of the acute angle between the lines 2x-y+4=0 and x-2y=1 is (a) x-y+5=0 (b) x-y+1=0( c) x-y=5 (d) none of these

If 5 sin x cos y = 1, 4 tan x = tan y, then

The angle between tangents to the curves y=x^(2) and x^(2)=y^(2) at (1,1) is (A) cos^(-1)(4/5) (B) sin^(-1)(3/5) (C) tan^(-1)(3/4) (D) tan^(-1)(1/3)

The angle between the normals of ellipse 4x^2 + y^2 = 5 , at the intersection of 2x+y=3 and the ellipse is (A) tan^(-1) (3/5) (B) tan^(-1) (3/4) (C) tan^(-1) (4/3) (D) tan^(-1) (4/5)

If the angle between the two lines represented by 2x^2+5xy+3y^2+2y+4=0 is tan ^(-1) (m) , then m is equal to

x + y = (4n + 3) (pi) / (4), n in Z rArr ((1 + tan x) (1 + tan y)) / (tan x tan y) =

If tan x=(1)/(7) and tan y=(1)/(3) show that cos 2x = sin 4y