The tangent to a circle at any point on ...

The tangent to a circle at any point on it is perpendicular to the radius passes through the point of contact.

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Prove that the tangent to the circle at any point on it is perpendicular to the radius passes through the point of contact.

Show that , The tangent at any point of a circle is perpendicular to the radius through the point of contact.

The tangent to a circle and the radius passing through the point of contact are perpendicular to each other.

AB and AC are two tangents to the circle with centre at O. Prove that AO bisects the chord passing through point of contact at right angle.

Tangent to a curve intercepts the y-axis at a point P .A line perpendicular to this tangent through P passes through another point (1,0). The differential equation of the curve is

Find the equation of the curve whose length of the tangent at any point on ot, intercepted between the coordinate axes is bisected by the point of contact.

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is__________

If two tangents are drawn to a circle from a point outside it, them the line segments joining the point of contacts and the exterior point are equal.

Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contacts and the exterior point are equal.

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x,y) on it as (x^2-2y)/x , then the curve also passes through the point

CALCUTTA BOOK HOUSE-THEOREMS RELATED TO TANGENT IN A CIRCLE -EXERCISE 4.1

PR and PS are two tangents drawn from a extental point P of the Circle...
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PQ is a diameter of the circle with centre at O. The tengent drawn at ...
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PQ is a chord of the circle with centre at C and of radius 4 cm.The ta...
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The tangent drawn from an extenral point A of the circle with centre C...
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If two circles touch internally,then the distance between the centres ...
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The tangent to a circle at any point on it is perpendicular to the rad...
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Only "" tangent can be drawn at any point on the circumference of a ci...
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The perpendicular drawn on radius at the end point of radius of a circ...
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The radii of two circles are 10 cm and 5 cm and the distance between t...
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PQ is a diameter of the circle with centre at O. The tangent drawn at ...
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The lengths of two radii of two circles are repectively 3 cm and 2 cm....
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Prove that the centres of three equal circles touchinhg each other are...
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AB and AC are two tangents to the circle with centre at O. Prove that ...
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Two equal circles touches each other externally at a point C and a lin...
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The quadrilateral ABCD is circumsribed about a circle. Prove that AB+ ...
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Two circles touch each other externally at a point A and a stright lin...
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Prove that the parallelogram circumscribed about a circle is only a rh...
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Draw a circle with radius 3.4cm and draw a tangent at one side of the ...
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Draw a circle of radius 4cm. From a point 8cm away its centre, constru...
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Draw a circle of radius 5cm. From a point 11cm away its centre, constr...
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