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For a triangle, if (1)/(a+c)+(1)/(b+c)=(...

For a triangle, if `(1)/(a+c)+(1)/(b+c)=(3)/(a+b+c)`, then show that `angleC=60^(@)`.

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The correct Answer is:
`:.angleC=60^(@)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)
  1. For any three sets A, B and C prove that A-(BcupC)=(A-B)cap(A-C)

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  2. Show that the value of sin18^(@)" is "(sqrt5-1)/(4)

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  3. For a triangle, if (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c), then show that ang...

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  4. Using the principle of mathematical induction, prove that 1^(2)+3^(2)+...

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  5. Show that if nge1 is an integer, then 9^(n+1)-8n-9 is divisible by 64...

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  6. How many different numbers of 5 significant digits can be formed with ...

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  7. Solve :z+|z|=1+2i, where z=x+iy,x,yinRR.

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  8. There numbers are in G.P. whose product and sum are respectively 216 a...

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  9. Find the distance from the point P(4,1) to the line 4x-y=0 measured al...

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  10. Find the equations of the circle which touches y-aixs at (0,5) and who...

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  11. Find the locus of the foot of the perpendicular drawn from the origin ...

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  12. If lim(xto3)(px^(2)-q)/(x-3)=6, then find the values of p and q.

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  13. If y=sqrtx+(1)/(2sqrtx)and2x(dy)/(dx)+y=f(x), then find f(x).

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  14. Prove that for any two statements p and q the statements ~(pharr~q)and...

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  15. Using contrapositive method, prove that -''If x is an interger and x^(...

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  16. A number is selected at random among the first 50 positvie integers. F...

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  17. Calculate the value of : (i)^(61)

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