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Prove that 3+sqrt5 is an irrational numb...

Prove that `3+sqrt5` is an irrational number.

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OSWAAL PUBLICATION-SOLVED PAPER (SSLC KARNATAKA APRIL 2019)-Answer the following :
  1. Draw a circle of radius 4 cm and construct a pair of tangents such tha...

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  2. Find the co - ordinates of points which divides the line segment joini...

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  3. Prove that 3+sqrt5 is an irrational number.

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  4. The sum and product of the zeroes an a quadratic polynomial P (x) = ax...

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  5. Find the quotient and the remainder when P (x) = 3x^(3)+ x^(2)+2x+5 is...

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  6. Solve 2x^(2)-5x+3 = 0 by using formula.

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  7. The length of a rectangular field is 3 time its breadth . If the area ...

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  8. If sqrt(3) tan theta =1 and theta is acute, find the value of sin 3 th...

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  9. Prove that ((1+cos theta)/(1-cos theta))=("cosec"theta + "cot"theta)^(...

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  10. A cubical die numbered from 1 to 6 are rolled twice . Find the probabi...

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  11. The radii of two circular ends of a frustum of a cone shaped dustbin a...

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  12. Prove that "the lengths of tangents drawn from an external point to a ...

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  13. Calculate the median of the following frequency distribution table : ...

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  14. The seventh term of an arithmetic progression is four times itss secon...

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  15. The vertices of a Delta ABC are A(-5,-1) B(3.-5) , C-(5.2).Show that t...

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  16. Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another t...

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  17. Find the sol.n of the following pair of linear by the graphical method...

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  18. The angle of elevation of the top of a tower from two points at a dist...

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  19. The bottom of a right cylindrical shaped vessel made from metallic she...

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  20. Prove that “the ratio of the areas of two similar triangles is equal t...

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