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Answer any One question : If a+b-c/a+b = b+c-a/b+c = c+a-b/c+a and a+b+c ne 0, then prove that a = b = c.

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If (a+b-c)/(a+ b) =(b+c-a)/(b+c) = (c+a-b)/(c+a) and a+b+cne 0, then prove that a = b = c.

If a/(b +c) = b/(c+a) = c/(a+b) " and " a + b + c ne 0 , then prove that a = b = c .

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , then prove that a : b = c : d

If b/(a + b) = (3a - c - b)/(2b + c -a) = (-a+3c)/(2a - b + 3c) ( "where " a + b + c ne 0) , then prove that a = b = c .

If (a + b + c + d) : (a + b - c - d) = (a - b + c - d):(a-b-c+d) , then prove that a : b = c :d .

If b/(a+b) = (a+c-b)/(b+c-a) = (a+b+c)/(2a+b+2c)("where " a + b + c ne 0) , then prove that a/2 = b/3 = c/4 .

(d) answer ANY one question :1. bar a, bar b and bar c be three vectors such that bar a +bar b+ bar c =0 and |bar a|=1, |bar b|=4,|bar c |=2 . Evlautae bar a.bar b + bar b.bar c+bar c.bar a .

Answer any one : If a/b+c = b/c+a = c/a+b, then prove that each ratio is equal to 1/2 or - 1.

e) answer any one question : (i) if P(A/B)=0.8 , P(B/A)=0.6 and P(A^c uu B^c)=0.7 , then find the value of P(A uu B)

If (a+b)/(b+c) = (c+d)/(d+a) then prove that either c= a or a+b+c+d = 0.

UNITED BOOK HOUSE-QUESTION PAPER 2018-Exercise
  1. The digit in the unit's place of a two figited number is 6 more than t...

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  2. Answer any One question : Find the simplest value of : sqrt7(sqrt5 - ...

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  3. If x prop y and y prop z, then prove that : (x^2+y^2+z^2) prop (xy+yz+...

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  4. Answer any One question : If a+b-c/a+b = b+c-a/b+c = c+a-b/c+a and a+...

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  5. If x : a = y : b = z : c,then show that : (a^2+b^2+c^2)(x^2+y^2+z^2) =...

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  6. Answer any One queation : Prove that, if a perpendicular is draw on t...

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  7. Prove that the tangent and the radius through the point of contact of ...

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  8. Answer any One question : In triangleABC, AD is perpendicular on BC a...

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  9. A straight line intersects one of the two concentric circles at the po...

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  10. Answer any One queation : Construct two circles of radii 4 cm and 2 c...

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  11. Construct a triangle whose two sides are 9 cm and 7 cm and the angle b...

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  12. Answer any Two questions : An are of length 220 cm of a circle makes ...

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  13. If cos^2 theta - sin^2 theta =1/2, then find value of tan^2 theta.

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  14. Find the value of : (sec17^@)/(cosec73^@)+(tan68^@)/(cot22^@)+cos^244^...

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  15. Answer any One question : The length of the shodow of a post becomes ...

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  16. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

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  17. Each side of a cube is decreased by 50%. Calculate the ratio of the vo...

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  18. The total surface area of a right circular cylinrical pot without lid ...

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  19. A tank of length 21 dcm, breadth 11 dcm and 6 dcm deep is half filled ...

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  20. Find the median of given data :

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