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Prove that the tangent at any point of a...

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

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OSWAAL PUBLICATION-KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD (MODEL QUESTION PAPER)-QUESTION
  1. Solve the equation 3x^(2) - 5x+ 2 = 0 by using the formula

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  2. 2 tan ^ 2 45 ^@ + cos ^ 2 30 ^@ - sin ^ 2 60 ^@ = ?

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  3. The angle of elevation of the top of a tower from a point on the groud...

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  4. As observed from the top of a 100 m high light house from the sea leve...

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  5. A die is thrown once. Find the probability of getting a number lyin...

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  6. The volume of a cube is 64 cm^(3). Find the total sufrace area of the ...

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  7. Prove that the tangent at any point of a circle is perpendicular to th...

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  8. Prove that "the lengths of tangents drawn from an external points to a...

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  9. Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle ...

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  10. A two digit number is four times the sum of the digits. It is also equ...

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  11. The numerator of a fraction is 3 less than its denominator. If 2 is ad...

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  12. If 4 tan theta = 3, Evaluate [ (4 sin theta - cos theta +1)/(4 sin the...

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  13. If tan 2A = cot (A- 18^@ ) where 2A is an acute angle...

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  14. Calculate the median for the following data : {:("Class interval", "...

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  15. Calculate the mode for the following frequency distribution table : ...

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  16. Construct 'ogive' for the following distribution : {:("C.I.",0-3,3...

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  17. The sum of four consecutive terms which are in an arithmetic progressi...

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  18. In an arithmetic progression of 50 terms, the sum of first ten terms ...

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  19. Prove that "In a right angled triangle the square of hypotenuse is eq...

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  20. Solve the equations graphically: 2x-y=2 4x-y=4

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