The orthocentre of the triangle formed by the parametric points - and -these being the angles with x-axis- on the circle x2-y2-a2 is

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Standard VIII

Mathematics

The Orthocentre

The orthocent...

Question

The orthocentre of the triangle formed by the parametric points $α, β$ and $γ$ ,these being the angles with x-axis, on the circle $x^{2} + y^{2} = a^{2}$ is

(0, 0)

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(Σ \frac{a}{3} cos α, Σ \frac{a}{3} sin α)

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(Σ a cos α, Σ a sin α)

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(Σ a cos \frac{α}{2}, Σ a sin \frac{α}{2})

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Solution

The correct option is C $(Σ a cos α, Σ a sin α)$
$P (a c o s α, a s i n α), Q (a c o s β, a s i n β) a n d R (a c o s γ, a s i n γ)$

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The orthocentre of the triangle formed by the parametric points α,β and γ,these being the angles with x-axis, on the circle x2+y2=a2 is

The correct option is C (Σacosα,Σasinα)P(a cos α,a sin α),Q(a cosβ,a sin β) and R(acosγ,a sin γ)

The orthocentre of the triangle formed by the parametric points $α, β$ and $γ$ ,these being the angles with x-axis, on the circle $x^{2} + y^{2} = a^{2}$ is

The correct option is C $(Σ a cos α, Σ a sin α)$
$P (a c o s α, a s i n α), Q (a c o s β, a s i n β) a n d R (a c o s γ, a s i n γ)$