If a-x-y- and b-y-x-a-b-5 then locus of x- y is

The correct option is B C ircle a⃗×b⃗=î amp; ĵ amp; k̂ x amp; y amp; 0 y amp; x amp; 0=oî+oĵ+x^2+y^2k̂ |a⃗×b⃗|=x^2+y^2 ...

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Applications of Cross Product

If a⃗=xî-yĵ...

Question

If $\to a = x^i - y^j$ and $\to b = y^i + x^j, | \to a \times \to b | = 5$ then locus of $(x, y)$ is

Hyperbola

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Parabola

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Ellipse

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C

ircle

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Solution

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Similar questions

\to a =^i -^k

\to b = x^i +^j + (1 - x)^k

\to c = y^i + x^j + (1 + x - y)^k

[\to a, \to b, \to c]

\to a =^i -^k, \to b = x^i +^j + (1 - x)^k

\to c = y^i + x^j + (1 + x - y)^k,

[\to a \to b \to c]

If $\to a = x^i - y^j$ and $\to b = y^i + x^j, ∣ ∣ ∣ \to a \times \to b ∣ ∣ ∣ = 5,$ then the locus of $(x, y)$ is :

¯ ¯ ¯ c, \to a = x^i + y^j + z^k, \to b =^j

\to a, \to c, \to b

R . H . S

\to c =

\to a = x \to i - y \to j, \to b = y \to i + x \to j

| \to a \times \to b | = 5

(x, y)

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