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If 2x^2+3y^2 alpha xy, then show that x ...

If `2x^2+3y^2 alpha xy`, then show that `x alphay`.

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UNITED BOOK HOUSE-RAMAKRISHNA MISSION VIDYALAYA, NARENDRAPUR-EXERCISE
  1. What is the value of the third angle of a triangle in radian when its ...

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  2. angleB is the right angle of a right angled isosceles triangleABC. Th...

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  3. If 2x^2+3y^2 alpha xy, then show that x alphay.

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  4. If the numbers 1,1/2,1/3,1/4,….1/n have frequencies 1,2,3,4…n respecti...

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  5. The simnple interest and compound interest on a certain sum os money f...

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  6. Nivedita and Uma have started a business with capital Rs.3000 and Rs 5...

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  7. Solve: a/(x-b)+b/(x-a) = 2(x!=b,a)

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  8. A man goes to a place covering distance of 8km and returns to the sam...

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  9. If x= (sqrt2+1)/(sqrt2-1) and x-y= 4sqrt2 then find the value of x^4+y...

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  10. Three variable x,y,z such that y+z-x is a constant and if (z+x-y)(x+y-...

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  11. If (ad-bc)/(a-b-c+d) = (ac-bd)/(a-b+c-d) then show that each ratio = (...

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  12. If a+c = 2b and 2/c= 1/b+1/d then prove that a:b = c:d.

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

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  14. State and prove Pythagoras theorem.

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  15. In triangleABC, angleB is an acute angle and AD botBC. Prove that AC^2...

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  16. AC is a diamter of a circle with centre O, If triangleABC is cyclic an...

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  17. Construct a right angled triangled whose hypotenuse is 10cm and aother...

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  18. Find geometrically, the value f 2sqrt5.

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  19. Define radian, Prove that 1^@<1^c.

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  20. If 5 cos theta+ 12 sin theta = 13 show that tan theta = 12/5.

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