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Standard IX

Mathematics

Chord Theorem 2

8.Chord AB of...

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8.Chord AB of the circle x²+y²,=100 passes through the point (7,1) and substends an angle of 60 at the circumference of the circle.If m1 and m2 are the slopes of 2 such chords then the value of m1.m2 is

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Q. Chord

A B

of the circle

x^{2} + y^{2} = 100

passes through the point

(7, 1)

and subtends an angle of

60^{o}

at the circumference of the circle. If

m_{1}

and

m_{2}

are the slopes of two such chords then the value of

m_{1} m_{2}

RS is the chord of contact of the point P on a circle center at O. if $m_{1} = s l o p e o f ¯ ¯¯¯¯¯¯ ¯ R S a n d m_{2} = s l o p e o f ¯ ¯¯¯¯¯¯ ¯ O P$

Q. If

m_{1}

and

m_{2}

are the slopes of tangents to the circle

x^{2} + y^{2} = 4

from the point

(3, 2)

, then

m_{1} - m_{2}

is equal to

Q. If

m_{1}

and

m_{2}

are the slopes of the tangents to the hyperbola

\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1

which pass through the point

(6, 2)

.Fnd the values of

m_{1} + m_{2}

and

m_{1} m_{2} .

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