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A chord \(A B\) is drawn from the point \(A(0,3)\) on the circle \(x^{2}+4 x+(y-3)^{2}=0\), and is extended to \(M\) such that \(\mathrm{AM}=2 \mathrm{AB} .\) The locus of \(\mathrm{M}\) is

answered 1 minute ago in Sets, relations and functions by emertistexoneer

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A double ordinate \(P Q\) of the hyperbola \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) is such that \(\Delta O P Q\) is equilateral, \(O\) being the centre of the hyperbola. Then the eccentricity e satisfies the relation

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The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then the eccentricity e is,

answered 12 hours ago in Sets, relations and functions by PutinChoow

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The point \(Q\) is the image of the point \(P(1,5)\) about the line \(y=x\) and \(R\) is the image of the point \(Q\) about the line \(y=-x\). The circumcenter of the \(\Delta P Q R\) is

answered Oct 20, 2024 in Sets, relations and functions by Diplomi_hcpr

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The normal to a curve at \(P(x, y)\) meets the \(x\)-axis at \(G\). If the distance of \(G\) from the origin is twice the abscissa of \(P\) then the curve is

answered Oct 20, 2024 in Sets, relations and functions by Walterled

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answered Oct 19, 2024 in Sets, relations and functions by k8gameiowax

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Let \(A\) be the centre of the circle \(x^{2}+y^{2}-2 x-4 y-20=0 .\) Let \(B(1,7)\) and \(D(4,-2)\) be two points on the circle such that tangents at \(B\) and \(D\) meet at \(C\). The area of the quadrilateral \(A B C D\) is

answered Oct 19, 2024 in Sets, relations and functions by apkboy

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Q. If \(a, b\) and \(c \in N\) which one of the following is not true?

asked Jan 3, 2022 in Sets, relations and functions by kritika (90.1k points)

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Q. Which one of the following statements is correct ?

asked Dec 31, 2021 in Sets, relations and functions by kritika (90.1k points)

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Q. A tangent to the hyperbola \(\frac{x^{4}}{4}-\frac{y^{2}}{2}=1\) meets \(\mathrm{x}\)-axis at \(P\) and \(\mathrm{y}\)-axis at \(Q .\) Lines \(P R\) and \(Q R\) are drawn such that \(O P R Q\) is a rectangle (where \(O\) is the origin). Then \(R\) lies on:

asked Dec 28, 2021 in Sets, relations and functions by kritika (90.1k points)

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\(\int \cos m x \cos n x d x, m \neq n\)

asked Dec 20, 2021 in Sets, relations and functions by kritika (90.1k points)

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