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Point Form of Normal: Ellipse

14. ABC is a ...

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14. ABC is a variable triangle such that A is (1,2), and B and c lies on the line y=x+ (so is a variable).Then the locus of the orthocentre of triangle ABC is

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A B C

is a variable triangle such that

A

(1, 2)

B

C

y = x + λ

λ

is a variable), then locus of the orthocentre of

△ A B C

Q. ABC is a variable triangle such that A is

(1, 2)

and B and C on the line

y = x + λ

. Then the locus of the orthocenter of

Δ A B C

A (1, 0)

B (0, 1)

and two fixed point on the circle

x^{2} + y^{2} = 1

. C is a variable point on this circle. As C moves, the locus of the orthocentre of the triangle ABC is

Q. If tangents are drawn at the points

A (1, 2), B (4, - 4)

and a variable point

^{'} C^{'}

lies on the parabola

y^{2} = 4 x

, then the locus of the orthocentre of triangle formed by these tangents is

(1, 0)

(0, 1)

and two fixed points on the circle

x^{2} + y^{2} = 1

C

is a variable point on this circle. As

C

moves, the locus of the orthocentre of the triangle

A B C

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