Quant Boosters  Geometry  Raman Sharma  Set 2

(credits : Anil Sharma)

Q29) In a ∆ABC , if tanA and tanB are the roots of the of pq(x²+1) = r²x. Then ∆ABC is
a. Right angled
b. Obtuse angled
c. Equilateral
d. Acute angled

pqx^2  r^2x + pq = 0
tanA + tanB = r^2/pq
tanA * tanB = 1
tan(A + B) = tan 90
so A + B = 90, so C = 90
So right angle

Q30) Given AB = AC. Find the measure of angle BAD



r= delta/s s=6 => a+b+c =12 , abc=60
a=3, b=4,c=5
1/a+1/b+1/c=47/60

@raman_sharma How the the length of side BE was computated?

@raman_sharma What is 'y' in your calculation of areas of the triangle? What formula have you used for calculating the area?

@raman_sharma
solution please