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In Delta ABC, if cos A cos B+ sin A sin ...

In `Delta ABC, if cos A cos B+ sin A sin B sin C=1`, then the triangle is

A

equilateral

B

right angled

C

isosceles

D

right angled isosceles

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. IF a cos B=b cos A, then Delta ABC is

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

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

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  4. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then a:b:c=

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  5. In Delta ABC, if sin A cos B=1//4 and 3 tan A=tan B, the triangle is r...

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

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  7. The radius of the circumcircle of an isosceles triangle PQR is equal t...

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  8. The perimeter of a Delta ABC is 6 times the A.M. of the sines of its a...

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

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  10. In Delta ABC, if (sin A+sin B+sin C) (sin A+ sin B- sin C)=3 sin A sin...

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  11. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

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  12. IF ABC is the triangle then one root of x^2-2bx cos A+b^2-a^2=0 is

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

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  14. In DeltaABCprod((sin^2A+sinA+1)/(sinA)) is always greater than

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  15. If A, B,C are angles of a acute angled triangle then the least value o...

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  16. In a right angled Delta ABC, sin^2 A+ sin^2 B+sin^2 C=

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  17. IF twice the square of the radius of a circle is equal to half the sum...

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  18. In a triangle ABC,if a is the arithemetic mean and b,c (b ne c)are the...

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  19. Points D,E are taken on the side BC of a triangle ABC, such that BD=DE...

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  20. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

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