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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Conic Sections

Find the equation of the circle which passes through the points (1, 2), (2, 2) and (4, -1)?

Sarvajeet Kumar

Tutor

square of (x-3/2) + square of (y-3/2) = 1/2.

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Answers 2 Comments Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Conic Sections

Show that the point (5, 6) outside the circle: (square of x) + (square of y) = 4?

Sarvajeet Kumar

Tutor

S'=(square of 5) + (square of 6) - 4 = -57.

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Answers 2 Comments Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Conic Sections

Find the whether (1, 3) lies inside, or outside or on the circle (square of x) + (square of y) = 16?

Gunturi Praveen

Maths & Electronics

Substitute those values in the L.H.S of the equation. if LHS < RHS --- Lies Inside LHS=RHS ---- Lies on the circle LHS> RHS ---- Lies outside of the circle.

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Answers 2 Comments Find the equation of the hyperbola with eccentricity 3 / 2 and foci at (2, 0)?

Sarvajeet Kumar

Tutor

square of (x) / (16/9) - square of (y) / (20/9) = 1.

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Answers 1 Comments Define a circle as the locus of a point?

Sarvajeet Kumar

Tutor

Locus of a point whose distance from a fixed point is remain constant.

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Answers 2 Comments Find the distance between the directrices of the ellipse: square of (x) / 36 + square of (y) / 20 = 1?

Sarvajeet Kumar

Tutor

18.

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Answers 1 Comments Find the equation of the line which passes through the focus of the Parabola: (square of y) = 20x?

Sarvajeet Kumar

Tutor

There are infinite number of lines at different slopes (including its axis) which pass through the focus (5,0) of the parabola, (square of y) = 20x. So, you tell me either one slope or one point.

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Answers 1 Comments Define latus rectum of a Parabola?

Sarvajeet Kumar

Tutor

The latus rectum of a parabola, square of y =4ax is 4a.

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Answers 1 Comments Find the axis of the parabola: (square of y) = x?

Sarvajeet Kumar

Tutor

The x axis i.e., y = 0.

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Answers 1 Comments Answered on 28/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Conic Sections

Find the centre and the radius of the circle from the given equation: (square of x) + (square of y) = 16?

Tapas Bhattacharya

Tutor

Circle: x^2 + y^2 = 16 = 4^2. Center of the circle: (0, 0). Radius = 4 units.

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