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If `ax + by =1 and bx + ay = ( 2 ab)/(a ^(2) + b ^(2))` then` (x ^(2) + y ^(2)) (a ^(2) + b ^(2))` is equal to

A

1

B

2

C

0.5

D

0

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If ax+by=1 and bx+ay=(2ab)/(a^(2)+b^(2)) then (x^(2)+y^(2))(a^(2)+b^(2)) is equal to

{:(ax + by = 1),(bx + ay = ((a + b)^(2))/(a^(2) + b^(2))-1):}

Factorise: ax ^(2) + by^(2) + bx^(2) + ay^(2)

(bx ) /(a) + ( ay ) /( b) = a ^(2) + b ^(2) , x + y = 2ab

2 (ax+by)^(2)-(bx+ay)^(2)

If ax+by=6, bx-ay=2and x^(2)+y^(2)=4 then what is (a^(2)+b^(2)) ?

If bx=ay then show that (x^(2)+y^(2))(a^(2)+b^(2))=(ax+by)^(2)

ax+by=a+b bx+ay=b^2

ax+by=1 bx+ay=2

CHAMPION PUBLICATION-2016 TIER-II PAPER(14)-EXERCISE
  1. If a = (1)/(a - 5) (a gt 0), then the value of a + (1)/(a) is

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  2. If a + (1)/(b) = b + (1)/(c) = c + (1)/(a) (where a ne b ne c), then...

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  3. If ax + by =1 and bx + ay = ( 2 ab)/(a ^(2) + b ^(2)) then (x ^(2) + y...

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  4. If x, y, z are the three roots of a^(3) - 7 a - 6 , then value of ...

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  5. ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals ...

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  6. In a triangle ABC, angleA=70^(@), angleB=80^(@) and D is the incentre ...

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  7. In a right angled triangle DeltaDEF, if the length of the hypotenuse E...

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  8. Two equal circles intersect so that their centres, and the points at w...

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  9. PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. DeltaABC is a triangle wh...

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  10. DeltaABC is an isosceles right angled triangle having angleC=90^(@). I...

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  11. D and E are points on the sides AB and AC respectively of DeltaABC suc...

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  12. ABCD is a trapezium in which AB||CD and AB=2CD. If its diagonals inter...

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  13. If O is the orthocentre of a triangle ABC and angleBOC=100^(@), the me...

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  14. PQ and RS are common tangents of two circles intersection at A and B. ...

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  15. If secA + tanA =a, then the value of cosA is यदि secA + tanA =a हो,...

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  16. If sin theta + cosec theta = 2, then the value of sin^7theta + cosec^7...

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  17. If cos x.cos y + sin x.sin y = -1 then cos x + cos y is यदि cos x.c...

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  18. The value of the expression 2(sin^(6)theta+cos^(6)theta)-3(sin^(4...

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  19. If cos theta=(x^2-y^2)/(x^2+y^2) then the value of cot theta is equal ...

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  20. The distance between two pillars is 120 metres. The height of one pill...

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