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On dividing 3x^3-2x^2+5x-5 by a polynomi...

On dividing `3x^3-2x^2+5x-5` by a polynomial p(x), the quotient and remainder are `x^2-x+2` and -7 respectively. Find p(x).

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R G PUBLICATION-MODEL PAPER 2-EXERCISE
  1. Explain why 7xx6xx5xx4xx3xx2xx1+7 is a Composite Number.

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  2. Prove that 15+17sqrt3 is an irrational number.

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  3. Divide x^4-3x^2+4x+5 by x^2-x+1, find quotient and remainder.

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  4. Without drawing graphs, check whether the following pair of linear equ...

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  5. Find the value of tan 60^@ geometrically.

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  6. Prove that : sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthe...

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  7. Show that 6+sqrt2 is irrational.

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  8. On dividing 3x^3-2x^2+5x-5 by a polynomial p(x), the quotient and rema...

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  9. lf costheta-sintheta=sqrt2sintheta prove that costheta+sintheta=sqrt2c...

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  10. Prove that the ratio of the areas of two similar triangles is equal to...

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  11. An army contingent of 1000 members is to march behind an army band of ...

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  12. In a trapezium ABCD, AB is parallel to CD and AB = 2CD. If area of Del...

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  13. If alpha,beta are the zeroes of the polynomial x^2-3x+ 2, then find th...

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  14. Find the sum of all the two-digit natural number which are divisible b...

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  15. Find the value of the middle most term(s) of the arithmetic progressio...

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  16. Prove that the angle between the two tangents drawn from an external p...

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  17. A solid metallic sphere of diameter 21 cm is melted and recast into a ...

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  18. Two tangents PA and PB are drawn to circle with centre O from an exter...

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  19. The angle of elevation of the top of a building from the foot of the t...

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  20. A train travels at a certain average speed for a distance of 63 km and...

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