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If two sides of a triangle are roots of the equation `x^(2)- 7x + 8 = 0` and the angle between these sides is `60^(@)` then the product of inradius and circumradius of the triangle is

A

`(8)/(7)`

B

`(5)/(3)`

C

`(5 sqrt(2))/(3)`

D

8

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-ADDITIONAL PRACTICE EXERCISE (LEVEL 1 (MAIN)) (Straight Objective Type Questions)
  1. In DeltABc, Delta=6 abc=60, r=1. Then the value of (1)/(a)+(1)/(b)+(1)...

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  2. In an equilateral triangle, the inradius, circumradius, and one of the...

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  3. If two sides of a triangle are roots of the equation x^(2)- 7x + 8 = 0...

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  4. ABC is an equilateral triangle of side 4cm. If R,r, and h are the circ...

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  5. A circle is inscribed in a trianlge ABC touching the side AB at D such...

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  6. For triangle ABC, R = 5/2 and r=1. Let I be the incenter of the triang...

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  7. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

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  8. In an acute angle triangle ABC r+r(1)=r(2)+r(3) and angleB gt (pi)/(3)...

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  9. If in triangle ABC, sum "sin"(A)/(2)=(6)/(5) and sum II(1)=9 (where l(...

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  10. In DeltaABC with usual notations if r=1, r(1)=7 and R=3, the DeltaABC ...

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  11. Which of the following expresses the circumference of a circle inscrib...

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  12. The area of the circle and the area of a regular polygon of n sides an...

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  13. In any triangle, the minimum value of r(1),r(2),r(3) l r^(3) is equal...

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  14. Statement 1: In any DeltaABC he maximum value of r(1)+r(2)+r(3)=9R//2 ...

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  15. Statement. 1: The incenter of triangle ABC is the orthocenter of the t...

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  16. Let l(1), l(2), l(3) be the lengths of the internal bisectors of angle...

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  17. Let ABC be a triangle. Also, let h(a) be the length of the altitude fr...

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  18. Statement-1: If a = 3, b = 7, c = 8, and internal angle bisector Al me...

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  19. Let ABCDEFGHIJKL be a regular dodecagon. Then the value of (AB)/(AF)+...

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  20. In DeltaABC the incircle touches the sides BC, CA, and AB, respectivel...

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