The two curves x3-3 x y2-2-0 and 3 x2 y-y3-2A- Cut at angle -3B- Cut at angle z-C- Touch each otherD- Cut at right angle

The correct option is D Cut at right angle M_1.M_2 = 1 nbsp;where M_1 and M_2 nbsp;are slopes of the tangents of the respective curves at their point of i ...

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Standard XII

Mathematics

Critical Point

The two curve...

Question

The two curves $x^{3} - 3 x y^{2} + 2 = 0$ and $3 x^{2} y - y^{3} = 2$

Touch each other

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Cut at right angle

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Cut at angle $\frac{π}{3}$

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Cut at angle $\frac{π}{4}$

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Solution

The correct option is B
Cut at right angle

$M_{1} . M_{2} = - 1$ where $M_{1} a n d M_{2}$ are slopes of the tangents of the respective curves at their point of intersection.They intersect at more than one point.

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Similar questions

Q. The two curves

x^{3} - 3 x y^{2} + 2 = 0

and

3 x^{2} y - y^{3} = 2

Q. The two curves

x^{3} - 3 x y^{2} + 2 = 0

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Q. Two curves x³ - 3xy² + 2 = 0 and 3x²y - y³ = 2
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The two curves x3−3xy2+2=0 and 3x2y−y3=2

The correct option is B Cut at right angle M1.M2=−1 where M1 and M2 are slopes of the tangents of the respective curves at their point of intersection.They intersect at more than one point.

The two curves $x^{3} - 3 x y^{2} + 2 = 0$ and $3 x^{2} y - y^{3} = 2$

The correct option is B
Cut at right angle

$M_{1} . M_{2} = - 1$ where $M_{1} a n d M_{2}$ are slopes of the tangents of the respective curves at their point of intersection.They intersect at more than one point.