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Assertion (A) : In Delta ABC if angle B...

Assertion (A) : In `Delta ABC if angle B = pi//2 ` then the diameter of the incircle of the triangle is c+a-b.
Reasons ( R ) : In a right angled triangle, hypotenuse is equal to circumradius of circumcircle.

A

A is true, R is true and R is correct explanation of A

B

A is true, R is true and R is not correct explanation of A

C

A is true, R is false

D

A is false, R is true

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-II) (LEVEL-II) (Straight Objective Type Questions)
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  2. In Delta ABC, if B=90^@ then tan""A/2=

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  3. Assertion (A) : In Delta ABC if angle B = pi//2 then the diameter o...

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  4. If cot ""(A)/(2) = 30 , Cot "" (B)/(2) = 50 , Cot "" ( C)/(2) = 70...

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  5. In a triangle ABC=(1)/((a-b)(a-c))tan A//2+(1)/((b-c)(b-a))tanB//2+(1)...

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  6. A triangular park is enclosed on two sides by a fence and on the third...

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

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  8. In a triangle ABC, two sides are a = 6, b = 3 and cos(A-B) =(4)/(5) th...

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  9. If two sides of a triangle are 3 feet and 12 feet and included angle i...

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  10. Given Delta^("le")ABC with AB=20,AC=22(1)/(2),BC=27, Points x and y ar...

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  11. ABC is a right triangle with right angle at B, AC = 2. BC = 1 and BD i...

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  12. A point P is inside an equilateral triangle. If the distances of P fro...

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  13. Let POR be a triangle of area Delta with a = 2,b= (7)/(2) and c=(5)/(2...

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  14. In DeltaABC, area of incircle : area of DeltaABC=

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  15. The correct match for LIST-I from LIST-II. The area of a triangle ABC ...

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  16. The sides of a triangle are in AP and its area is (3)/(5) th of area o...

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  17. The ratio between area of a square inscribed in a circle and an equila...

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  18. In DeltaABC, if b cos A= aCosB then the triangle is

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

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  20. In DeltaABC, if (a+b+c)(b+c-a)=3bc, then A=

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