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If x= (sqrt5+1)/2, show that x^2-x-1=0....

If `x= (sqrt5+1)/2`, show that `x^2-x-1=0`.

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UNITED BOOK HOUSE-PATRASAYER BAMIRA GURUDAS INSTITUTION, BANKURA-EXERCISE
  1. If tan 3x.tan 3y = 1, then sin(x+y)=?

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  2. A circle with centre O, a point P is 25 cm away from the centre of th...

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  3. If x= (sqrt5+1)/2, show that x^2-x-1=0.

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  4. If the length of radius of a sphere is increased by 50%, then how much...

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  5. Find the value of overset(10)underset(i=1)sum(10xxi).

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  6. The length of base diameter and height of a right circular cone are 16...

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  7. If a principal beocmes Rs 560 in 3 years and Rs 600 in 5 years at the ...

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  8. Two friends invested Rs 40,00 and Rs 50,00 respectively to stard a bu...

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  9. Solve: 1/x-1/(x+b)=1/a-1/(a+b) (x!=0,-b).

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  10. If the roots of the quadratic equation (a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2...

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  11. If (x+sqrt(x^2-1))/(x-sqrt(x^2-1))+(x-sqrt(x^2-1))/(x+sqrt(x^2-1))= 14...

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  12. If 1/x-1/y alpha 1/(y-x), show that x alpha y.

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  13. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

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  14. If x/(y+z)=y/(z+x)=z/(x+y) prove that the value of each ratio is eithe...

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  15. State and prove Pythagoras theorem.

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  16. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  17. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

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  18. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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  19. Geometrically calculate the value of sqrt(23). (Only traces of constru...

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  20. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

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