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In a triangle A B C , if acosA=bcosB , s...

In a triangle `A B C ,` if `acosA=bcosB ,` show that the triangle is either isosceles or right angled.

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To solve the problem, we need to show that in triangle \( ABC \), if \( a \cos A = b \cos B \), then the triangle is either isosceles or right-angled. ### Step-by-Step Solution: 1. **Given Information**: We have the equation: \[ a \cos A = b \cos B ...
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RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
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  2. If in a A B C ,(sinA)/(sinC)=(sin(A-B))/(sin(B-C) , prove that a^2,b^...

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  3. In a triangle A B C , if acosA=bcosB , show that the triangle is eithe...

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  4. If in triangle the angles are in the ratio as 1:2:3 , prove that the ...

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  5. In the sides of a triangle are in the ratio 1:sqrt(3):2, then the meas...

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  6. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+ sin C)+(b^2...

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  7. The angles of a triangle A B C are in AdotPdot and it is being given t...

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  8. In A B C , prove that (a-b^2cos^2C/2+(a+b)^2sin^2C/2=c^2dot

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  9. In a A B C , if a=3,b=5a n dc=7,fin dcos A ,cos Ba n dcos Cdot

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  10. A particle just clears a wall of height b at distance a and strikes...

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  11. A person observes the angle of elevation of the peak of a hill from a ...

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  12. If in a triangleA B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) ...

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  13. In a triangle A B C , if cos A=(sinB)/(2sinC) , show that the triangle...

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  14. In any Delta A B C , prove that: (cosA)/(bcosC+c cosB)+(cosB)/(c cos...

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  15. In any DeltaA B C ,suma(sinB-sin C)= (a) a^2+b^2+c^2 (b) a^2 (c) b...

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  16. In a Delta A B C , ifsinAa n dsinB are the roots of the equation c^2...

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  17. In any A B C , prove that: Delta=(a^2-b^2)/2dot(sinAsinB)/(sin(A-B))

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  18. In any triangle A B C , prove that:Delta=(b^2+c^2-a^2)/(4cotA) .

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  19. In a triangle A B C ,a=4,b=3,/A=60^0 then c is root of the equation c^...

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  20. In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

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