Home
Class 12
MATHS
Acute angle between two curve x^(2)+y^(2...

Acute angle between two curve `x^(2)+y^(2)=a^(2)sqrt2` and `x^(2)-y^(2)=a^(2)` is

Text Solution

Verified by Experts

`:'x^(2)+5x-6=0`
`implies (x-1)(x+6)=0impliesx=1`
`:. x+5y=6`…..(i) tangents
& `y=1/2(x+1)`………..(ii)
`:.tantheta =|(-1/5+1/2)/(1+1/10)|=3/11`
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle between the curves x^(2)+4y^(2)=32 and x^(2)-y^(2)=12, is

If sintheta is the acute angle between the curves x^(2)+y^(2)=4x " and " x^(2)+y^(2)=8 " at " (2,2), then theta=

Find the angle between the curves x^(2)-(y^(2))/(3)=a^(2)andax^(3)=c.

The angle between the curves y=x^2 and y=4-x^2 is

Find the angle between the curves x^2-(y^2)/3=a^2a n dC_2: x y^3=c

The acute angles between the curves y=2x^(2)-x and y^(2)=x at (0, 0) and (1, 1) are alpha and beta respectively, then

Find the angle between the curves 2y^2=x^3 and y^2=32 x .

The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^(2) y - y^(3) = 2

The area between the curve x=-2y^(2)and x=1-3y^(2), is

What is the angle between these two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0