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Two sides of a triangles are given by th...

Two sides of a triangles are given by the roots of the equation ` x^(2) - 3 ( sqrt2+ 1) x +9sqrt2=0 and ` the angle between the sides is ` 45^(@) ` , then the triangle is

A

Isosceles

B

obtuse angled

C

Right angled

D

Right angled isosceles

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

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  2. If sin A= sin^2 B and 2 cos^2 A=3 cos^2 B, then the Delta ABC is

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  3. Two sides of a triangles are given by the roots of the equation x^(2)...

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  4. In Delta ABC, if tan B tan C+tan C tan A+tan A tan B=sqrt3 tan A tan B...

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  5. IF Delta ABC, if cot""A/2=(b+c)/a, then the triangle is

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  6. In Delta ABC if a^2+b^2+c^2=ca+ab sqrt3 then the triangle is

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  7. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then the triangle i...

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  8. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

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  9. sum (a)/( s-a) (tan ""(B)/(2) - tan ""(C )/(2)) =

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  10. In Delta ABC, sum (a+b) tan ((A-B)/2)=

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  11. In Delta ABC sum(sin^2A+sinA+1)/(sinA) is always greater than

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  12. In Delta ABC, sum ( tan ""(A)/(2))/( (s-b)(s-c))=

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  13. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

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  14. If b=3 , c =2 , A = 120 ^(@) then length of bisector of angle A is

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  15. If a =7, b= 8 , c= 9 then the length of the line joining B to the mi...

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  16. If b^(2) +c^(2) = 3a^(2) then cot B +cot C -cot A=

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  17. If the hypotenuse of a right angled triangle is four times the length ...

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  18. In Delta ABC, if r1=8, r2=12, r3=24, then a=

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  19. If r : R r1 = 2: 5 : 12 then angle A =

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  20. In /\ABC prove that (r1)/(bc) + (r2)/(ca) + (r3)/(ab) = 1/r - 1/(2R).

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