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If the zeroes of the polynomial x^2-5x+k...

If the zeroes of the polynomial `x^2-5x+k` are the reciprocal of each other, then find the value of k.

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R G PUBLICATION-MODEL PAPER 1-EXERCISE
  1. Is 7^5xx3^2xx5+3 a composite number? Justify the answer.

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  2. Find the zeroes of the polynomial 4sqrt3x^2-5x-2sqrt3.

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  3. If the zeroes of the polynomial x^2-5x+k are the reciprocal of each ot...

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  4. Three angles of a triangle are x,y and 40^@. The difference between th...

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  5. Prove that cosA/(1+sinA)+(1+sinA)/cosA=2secA.

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  6. If A,B,C are the interior angles of ABC, then prove that cos((A+B)/2)=...

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  7. Prove that sqrt5 is irrational.

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  8. If alpha and beta are the two zeroes of the quadratic polynomial x^2-3...

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  9. Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2.

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  10. Prove that in a right traiangle, the square of the hypotemuse is equal...

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  11. Show that any positive even integer is of the form 6q, 6q+2 ,6q+4.

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  12. In the figure ,DeltaABC is right angles at B, BC=7cm and AC-AB=1cm. Fi...

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  13. In figure D,E,F are midpoints of sides BC,CA,AB respectively of DeltaA...

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  14. Find the coordinates of a point A,where AB is the diameter of a circle...

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  15. 2 cubes each of volume 64cm^3 are joined end to end.Find the surface a...

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  16. Prove that parallelogram circumscribing a circle is a rhombus.

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  17. In what ratio does the x-axis divide the line segment joining the poin...

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  18. If all the sides of a parallelogram touch a circle, show that the para...

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  19. AB and CD are two parallel tangents to a circle with centre O. ST is a...

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  20. The angle of elevation of an aeroplane from a point A on the ground is...

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