Posted by **ragini** on Friday, December 7, 2012 at 3:03am.

Please help me to find the separate equations of the line represented by following equations:

a) x^2+2(cosec a)xy-y^2=0

b) x^2+2xy. tan a-y^2=0

- maths..plse helppppppp -
**drwls**, Friday, December 7, 2012 at 3:32am
These two equations do not represent a (single) line. They are two different curves. For certain values of a, they overlap.

- maths..plse helppppppp -
**Steve**, Friday, December 7, 2012 at 10:56am
a) x^2-y^2 = 0

represents the lines y = ±x

Ax^2+Bxy+Cy^2=0 represents the same lines rotated through an angle θ such that

cot2θ = C-A/2B

so, we have cot2θ = 1/2 sin(a)

similarly for (b)

## Answer this Question

## Related Questions

- Algebra - Please look at the following simplification of an algebraic expression...
- Algebra - I thought number 4 on this list was incorrect but didn't know how to ...
- Geometry - 1.) A skateboard ramp has a 158° entry angle. Find the measure of &#...
- GENRAL MATHS - PROVE THAT (1+COT A+TAN A)(SIN A-COS A)=SEC A\COSEC A-COSEC A\SEC...
- maths --plse help me.. - Solve the system of equations for positive real numbers...
- math - 1. A skateboard ramp has a 158º entry angle. Find the measure of ∠1...
- ap calc - find the equations of ALL horizontal tangents to the curve y^2=(x^2+4...
- maths-urgently needed[Differential equations] - solve- dy/dx = 2xy + (y^2/x^2)
- maths-urgently needed[Differential equations] - solve- dy/dx = 2xy + (y^2/x^2)
- math - Prove the following identities: a) (cosec θ + cotθ)(cosecθ...

More Related Questions