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If two tangents are drawn to a circle fr...

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.

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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.

Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.

If two tangents are drawn to a circle from a point outside it, then the line segment joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line - segment joining the points of contact at the centre.

Prove that the internal angle between two tangents drawn from an external point is bisected by the straight line obtained by joining that point and the centre of the circle.

Find the distance of the point (1, 2) from the mid-point of the line segment joining the points (6, 8) and (2, 4).

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point(-4, -3).Find the equation of the curve given that it passes through (-2, 1).

The lengths of the two tangents from an external point to a circle are equal.

The coordinates of the mid -point of line -segment joining the points (a,-b) and (-a,b) are -

If tangents are drawn to y^2=4a x from any point P on the parabola y^2=a(x+b), then show that the normals drawn at their point for contact meet on a fixed line.

UNITED BOOK HOUSE-BIDHANNAGAR GOVT, HIGH SCHOOL-EXERCISE
  1. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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  2. If 1/(b+c)+1/(c+a) = 2/(a+b) , show that a^2+b^2=2c^2,

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  3. If a+b+c= 0 prove that 1/(2a^2+bc)+1/(2b^2+ca)+1/(2c^2+ab)=0

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  4. State and Prove Pythagoras theorem.

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  5. If two tangents are drawn to a circle from a point outside it, them th...

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  6. O is the centre of a centre having diameter AB. P is any point on the ...

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  7. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

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  8. Draw the mean proportional of line segments of lengths 4 cm and 3 cm.

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  9. use bal to draw the circumcircle of a right angled triangle having the...

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  10. If sin theta+ cosec theta= 2 then find the value of sin^10theta+cosec ...

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  11. Find the value of 4/3 cot^2 30^@+2 sin^2 60^@-2cosec^2 60^@-3/4 tan^2 ...

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  12. Prove that tan 7^@ tan23^@ tan60^@tan67^@tan83^@ = sqrt3.

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  13. The length of shadow of a tower standing on the ground is found to be...

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  14. Find the number of zeros at the end of 100! ?

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  15. Answer any two questions : Determine the volume of a solid right circu...

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  16. If two circles of radii 7 cm and 3 cm touch each other extermally, the...

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  17. If the glass of tubelight is 105 cm long and external circumference is...

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  18. Find the median of the following frequency distribution table.

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  19. Find the mode of the following frequency distribution table.

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  20. Profit of 100 shops in village are given below. find mean profit?

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