Question

If \(P(0,0), Q(1,0)\) and \(R\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\) are three given points, then the centre of the circle for which the lines \(P Q, Q R\) and \(R P\) are the tangents is
(A) \(\left(\frac{1}{2}, \frac{1}{4}\right)\)
(B) \(\left(\frac{1}{2}, \frac{\sqrt{3}}{4}\right)\)
(C) \(\left(\frac{1}{2}, \frac{1}{2 \sqrt{3}}\right)\)
(D) \(\left(\frac{1}{2}, \frac{-1}{\sqrt{3}}\right)\)

Answer 1

Ans: (C)
Hint : \(\triangle \mathrm{PQR}\) is equilateral, thus, the centroid is the incentre \(=\left(\frac{0+1+\frac{1}{2}}{3}, \frac{0+0+\frac{\sqrt{3}}{2}}{3}\right)=\left(\frac{1}{2}, \frac{1}{2 \sqrt{3}}\right)\)

Answer 2

tadalafil 20mg drug <a href="https://ordergnonline.com/">tadalafil for women</a> top ed pills

Answer 3

dating site free online: <a href=" https://datingtopreview.com/# ">free dating site for usa</a> - datingnow life

Answer 4

<a href="https://zithromaxeng.com/">zithromax dosage pediatric</a>

Answer 5

<a href="https://zithromaxeng.com/">zithromax stomach pain</a>

Answer 6

<a href="https://metforminvip.com/">metformin pill</a>

Answer 7

<a href="https://metforminvip.com/">metformin long term side effects</a>

Answer 8

<a href="https://furosemidenext.com/">furosemide 20 mg used for</a>

Answer 9

<a href="https://furosemidenext.com/">furosemide side effects in cats</a>

Answer 10

<a href="https://zoloftnew.com/">zoloft sexual side effects female</a>