Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

PARAGRAPH {X}Let {S}be the circle in the {x}{y}-plane defined

Question

PARAGRAPH $X$ Let $S$ be the circle in the $x y$ -plane defined by the equation $x^{2} + y^{2} = 4 .$ (For Ques. No 15 and 16)Let $E_{1} E_{2}$ and $F_{1} F_{2}$ be the chords of $S$ passing through the point $P_{0} (1, 1)$ and parallel to the x-axis and the y-axis, respectively. Let $G_{1} G_{2}$ be the chord of $S$ passing through $P_{0}$ and having slope $- 1$ . Let the tangents to $S$ at $E_{1}$ and $E_{2}$ meet at $E_{3}$ , the tangents to $S$ at $F_{1}$ and $F_{2}$ meet at $F_{3}$ , and the tangents to $S$ at $G_{1}$ and $G_{2}$ meet at $G_{3}$ . Then, the points $E_{3}, F_{3}$ and $G_{3}$ lie on the curve $x + y = 4$ (b) $(x - 4)^{2} + (y - 4)^{2} = 16$ (c) $(x - 4) (y - 4) = 4$ (d) $x y = 4$

Views: 974 students

Found 3 tutors discussing this question

Henry Discussed

PARAGRAPH

X

Let

S

be the circle in the

x y

-plane defined by the equation

x^{2} + y^{2} = 4 .

(For Ques. No 15 and 16)Let

E_{1} E_{2}

and

F_{1} F_{2}

be the chords of

S

passing through the point

P_{0} (1, 1)

and parallel to the x-axis and the y-axis, respectively. Let

G_{1} G_{2}

be the chord of

S

passing through

P_{0}

and having slope

- 1

. Let the tangents to

S

E_{1}

and

E_{2}

meet at

E_{3}

, the tangents to

S

F_{1}

and

F_{2}

meet at

F_{3}

, and the tangents to

S

G_{1}

and

G_{2}

meet at

G_{3}

. Then, the points

E_{3}, F_{3}

and

G_{3}

lie on the curve

x + y = 4

(b)

(x - 4)^{2} + (y - 4)^{2} = 16

(c)

(x - 4) (y - 4) = 4

(d)

x y = 4

8 mins ago

Discuss this question LIVE

8 mins ago

Filo tutor solutions (1)

Learn from their 1-to-1 discussion with Filo tutors.

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Was this solution helpful?

150

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	PARAGRAPH $X$ Let $S$ be the circle in the $x y$ -plane defined by the equation $x^{2} + y^{2} = 4 .$ (For Ques. No 15 and 16)Let $E_{1} E_{2}$ and $F_{1} F_{2}$ be the chords of $S$ passing through the point $P_{0} (1, 1)$ and parallel to the x-axis and the y-axis, respectively. Let $G_{1} G_{2}$ be the chord of $S$ passing through $P_{0}$ and having slope $- 1$ . Let the tangents to $S$ at $E_{1}$ and $E_{2}$ meet at $E_{3}$ , the tangents to $S$ at $F_{1}$ and $F_{2}$ meet at $F_{3}$ , and the tangents to $S$ at $G_{1}$ and $G_{2}$ meet at $G_{3}$ . Then, the points $E_{3}, F_{3}$ and $G_{3}$ lie on the curve $x + y = 4$ (b) $(x - 4)^{2} + (y - 4)^{2} = 16$ (c) $(x - 4) (y - 4) = 4$ (d) $x y = 4$
Answer Type	Video solution: 1
Upvotes	150

Filo tutor solutions (1)

Practice questions from similar books