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If the sine of the angles of DeltaABC sa...

If the sine of the angles of `DeltaABC` satisfy the equation `c^(3)x^(3)-c^(2) (a+b+c)x^(2)+lx +m=0`
(where a,b,c are the sides of `DeltaABC),` then `DeltaABC` is

A

A. always right angled for any l, m

B

B. right angled only when `l=c (ab+bc+ca) =c sum ab, m=-abc`

C

C. right angled only when `l= (c sum ab)/(4) , m=-(abc)/(8)`

D

D. never right angled

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
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  2. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

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  3. If the sine of the angles of DeltaABC satisfy the equation c^(3)x^(3)-...

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  4. In triangle ABC, medians AD and CE are drawn AD = 5, angle DAC = pi//8...

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  5. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

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  6. Solve the following system of inequalities graphically 2x + 4y le 8 , ...

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  7. In a delta ABC, a,c, A are given and b(1) , b(2) are two values of thi...

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  8. In a triangle ABC, if cot A =(x^(3)+x^(2) +x)^(1/2), cot B= (x+x^(-1)+...

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  9. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

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  10. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

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  11. Find the second order derivative of the function x^3 + 4x^2 +2

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  12. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

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  13. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

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  14. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

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  15. Differentiate the following function w.r.t x sin^3x+cos^6x

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  16. If tangents PA and PB from a point to a circle with centre O are incli...

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  17. Differentiate the following w.r.t x (3x^2-9x+5)^9

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  18. In a triangle a = sqrt5,b = 2, /A=pi/6 and the two possible values of...

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  19. If R(1) is the circumradius of the pedal triangle of a given triangle ...

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  20. If in a triangle (1-(r(1))/(r (2)))(1-(r(1))/(r (3)))=2. then show tha...

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