Find the coordinates of foci of hyperbola \((\frac{y}{16})^2-(\frac{x}{9})^2\)=1.(a) (±5,0)(b) (±4,0)(c) (0,±5)(d) (0,±4)I have been asked this question in semester exam.This question is from Conic Sections in portion Conic Sections of Mathematics – Class 11

Find the coordinates of foci of hyperbola \((\frac{y}{16})^2-(\frac{x}

1.	Find the coordinates of foci of hyperbola \((\frac{y}{16})^2-(\frac{x}{9})^2\)=1.(a) (±5,0)(b) (±4,0)(c) (0,±5)(d) (0,±4)I have been asked this question in semester exam.This question is from Conic Sections in portion Conic Sections of Mathematics – Class 11
Answer» The correct option is (C) (0,±5) For explanation: Comparing the equation with \((\frac{y}{a})^2-(\frac{x}{B})^2\)=1, we get a=4 and b=3. For hyperbola, c^2=a^2+b^2= 16+9=25 => c=5. So, coordinates of FOCI are (0,±c) i.e. (0,±5).

Discussion

No Comment Found

Related InterviewSolutions

Find the equation of directrix of parabola x^2=-100y.(a) x=25(b) x=-25(c) y=-25(d) y=25The question was posed to me during a job interview.Enquiry is from Conic Sections topic in division Conic Sections of Mathematics – Class 11
Find the equation of directrix of parabola y^2=100x.(a) x=25(b) x=-25(c) y=25(d) y=-25This question was addressed to me in my homework.I want to ask this question from Conic Sections in section Conic Sections of Mathematics – Class 11
If a circle pass through (4, 0) and (0, 2) and center at y-axis then find the radius of the circle.(a) 25 units(b) 20 units(c) 5 units(d) 10 unitsI have been asked this question in a national level competition.I'd like to ask this question from Conic Sections in chapter Conic Sections of Mathematics – Class 11
Find the equation of circle with center at origin and radius 5 units.(a) x^2+y^2=25(b) x^2+y^2=5(c) x^2=25(d) y^2=25I had been asked this question during an online exam.The query is from Conic Sections in division Conic Sections of Mathematics – Class 11
Find the focus of parabola with equation y^2=100x.(a) (0, 25)(b) (0, -25)(c) (25, 0)(d) (-25, 0)This question was addressed to me in exam.This intriguing question comes from Conic Sections in division Conic Sections of Mathematics – Class 11
A hyperbola has ___________ vertices and ____________ foci.(a) two, one(b) one, one(c) one, two(d) two, twoI got this question by my school principal while I was bunking the class.This intriguing question comes from Conic Sections in division Conic Sections of Mathematics – Class 11
Find the equation of axis of the parabola y^2=24x.(a) x=0(b) x=6(c) y=6(d) y=0I had been asked this question in an interview for internship.The doubt is from Conic Sections in section Conic Sections of Mathematics – Class 11
Find the vertex of the parabola y^2=4ax.(a) (0, 4)(b) (0, 0)(c) (4, 0)(d) (0, -4)The question was asked during an interview for a job.My question is based upon Conic Sections topic in section Conic Sections of Mathematics – Class 11
Find the equation of latus rectum of parabola x^2=100y.(a) x=25(b) x=-25(c) y=-25(d) y=25The question was asked during a job interview.The question is from Conic Sections in division Conic Sections of Mathematics – Class 11
Find the equation of latus rectum of parabola y^2=-100x.(a) x=25(b) x=-25(c) y=-25(d) y=25The question was posed to me in an internship interview.This intriguing question comes from Conic Sections topic in division Conic Sections of Mathematics – Class 11

Find the coordinates of foci of hyperbola \((\frac{y}{16})^2-(\frac{x}{9})^2\)=1.(a) (±5,0)(b) (±4,0)(c) (0,±5)(d) (0,±4)I have been asked this question in semester exam.This question is from Conic Sections in portion Conic Sections of Mathematics – Class 11

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment