Home
Class 12
MATHS
Statement I In any right angled triangle...

Statement I In any right angled triangle `(a^(2)+b^(2)+c^(2))/(R^(2))` is always equal to 8.
Statement II `a ^(2)=b^(2) +c^(2)`

A

Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement I is correct but Statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

In a right angles triangle, prove that r+2R=s.

If l, m, n denote the side of a pedal triangle, then (l)/(a ^(2))+(m)/(b^(2))+(n)/(c ^(2)) is equal to

Statement I Range of f(x) = x((e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))) + x^(2) + x^(4) is not R. Statement II Range of a continuous evern function cannot be R. (a)Statement I is correct, Statement II is also correct, Statement II is the correct explanation of Statement I (b)Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I

If DeltaABC is a right angle triangle then prove that cos^(2)A+cos^(2)B+cos^(2)C=1iffsin^(2)A+sin^(2)B+sin^(2)C=2

ABC is an isosceles triangle, right angled at C. Prove that AB^(2)= 2AC^(2) .

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: the equation (log)_(1/(2+|"x"|))(5+x^2)=(log)_((3+x^ 2))(15+sqrt(x)) has real solutions. Because Statement II: (log)_(1//"b")a=-log_b a\ (w h e r e\ a ,\ b >0\ a n d\ b!=1) and if number and base both are greater than unity then the number is positive. a. A b. \ B c. \ C d. D

If g, h, k denotes the side of a pedal triangle, then prove that (g)/(a^(2))+ (h)/(b^(2))+ (k)/(c^(2))=(a^(2)+b^(2) +c^(2))/(2 abc)

For any triangle ABC, prove that : (sin(B-C))/(sin(B+C))=(b^(2)-c^(2))/(a^(2))

Statement I If the sides of a triangle are 13, 14 15 then the radius of in circle =4 Statement II In a DeltaABC, Delta = sqrt(s (s-a) (s-b) (s-c)) where s=(a+b+c)/(2) and r =(Delta)/(s)