Answer :

Given that, a ΔABC with C = 90° and an equation whose roots are tan A and tan B


x2 – (tan A + tan B)x + tan A. tan B = 0 (i)


Now, A+B = 90° [ C = 90°]


tan(A+B) = tan90°



1-tan A tan B = 0


tan A tan B = 1 (ii)


Now,







Substituting the values from (ii) and (iii) in equation (i), we get



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

True and False<brMathematics - Exemplar

Find the values oRD Sharma - Mathematics

Prove that :
<
RD Sharma - Mathematics

The value of cos<Mathematics - Exemplar

The value of sin Mathematics - Exemplar

cos 2θ cos 2<spanMathematics - Exemplar

The value of <spaMathematics - Exemplar

If <span lang="ENMathematics - Exemplar

If <span lang="ENMathematics - Exemplar

Fill in the blankMathematics - Exemplar