See Our team
Wondering how we keep quality?
Got unsolved questions? Ask Questions
Engineering
GATE
CBSE
NCERT
Psychology
English
Computer
Constitution
Astrology
Yoga
Economics
Physics
Biology
Electronics
Microprocessor
Career
Interview
Anatomy
Botany
A hyperbola passes through the point P(2^(1/2),3^(1/2)) and has foci at (± 2, 0). Then the tangent to this hyperbola at P also passes through the point :-JEE MAINS-Mathematics-2017
(1) (-2^(1/2),-3^(1/2))
(2) 3x(2)^(1/2),2x3^(1/2)
(3) 2x2^(1/2),3x3^(1/2)
(4) 3^(1/2),2^(1/2)
By:PurnimaTaged users:|Aparna-DasguptaLikes:Be first to like this questionDislikes:Be first to dislike this question
Answers
Equation of hyperbola is
(x^2/a^2)-(y^2/b^2) = 1
foci is (±2, 0) hence ae = 2, thus, a^2e^2 = 4
b2 = a2(e2 – 1)
a^2 + b^2 = 4 ...(1)
Hyperbola passes through 2^(1/2), 3^(1/2)
2/(a^2)-3/(b^2)=1...(2)
On solving (1) and (2)
a^2 = 8 (is rejected) and a^2 = 1 and b^2 = 3
(x^2)/1-(y^2)/3=1
Equation of tangent is (2^(1/2)x)/1-(3^(1/2)y)/3=1
Hence (2(2)^(1/2),3(3)^(1/2)) satisfy it.
leoLikes:Be first to like this answerDislikes:Be first to dislike this answerTalk about this|Once you have earned teacher badge you can edit this questionDelete|Like|Dislike|------------------------------------Can you help us to add better answer here? Please see this
New updates
Similar Questions
A hyperbola passes through the point P(2^(1/2),3^(1/2)) and has foci at (± 2, 0). Then the tangent to this hyperbola at P also passes through the point :-JEE MAINS-Mathematics-20171 AnswerThe normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point :-JEE MAINS-Mathematics-20171 AnswerProve that tangent at any point of a circle is perpendicular to the radius through the point of contact. Mathematics CBSE class 10 20151 AnswerIn the Fig PQ is a tangent at a point C to a circle with centre O. if AB is a diameter and ∠CAB = 30°, find ∠PCA. Mathematics CBSE class 10 20161 AnswerComplete the following sentences. (CBSE ENGLISH CLASS 5)0 AnswerIn restrained link operation of three point hitches, the line of pull passes Gate-Agricultural-20161 AnswerThe length of each tangent is: Mathematics CBSE class 10 20130 AnswerLet k be an integer such that triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :-JEE MAINS-Mathematics-20171 AnswerConstruct a tangent of a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. Mathematics CBSE class 10 20131 AnswerIf B is the mid-point of AC and C is the mid-point of BD, where 𝐴, 𝐵, 𝐶,𝐷 lie on a straight line, say why 𝐴𝐵 = 𝐶𝐷?-Mathematics-cbse std 6th-Understanding elementary shapes.1 AnswerA man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is :-JEE MAINS-Mathematics-20171 AnswerIn what ratio does the point (24/11,y) divides the line segment joining the points P(2, -2) and Q(3, 7)? Also find the value of y. Mathematics CBSE class 10 20170 AnswerFind a relation between x and y such that the point (x,y) is equidistant from the point (7,1) and (3,5) Mathematics CBSE class 10 20131 AnswerIn the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangents AB with point of contact C, is intersecting XY at A and X’Y’ at B. Prove that ∠AOB = 90°. Mathematics CBSE class 10 20171 AnswerWhat is the far point and near point of the human eye with normal vision? -CBSE Physics1 AnswerFor any three positive real numbers a,b and c 9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c).Then-JEE MAINS-Mathematics-20171 AnswerMake a diagram to show how hypermetropia is corrected. The near point of a hypermetropic eye is 1 m. What is the power of the lens required to correct this defect? Assume that the near point of the normal eye is 25 cm. -CBSE Physics1 Answer A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:1 AnswerIn AUTOCAD, a line of infinite length in the dir ection defined by starting point and through point, is known as , GATE- Architecture and Planning- 2013 1 AnswerIf, for a positive integer n, the quadratic equation, x(x + 1) + (x + 1) (x + 2) + .....+ (x + n-1 ) (x + n) = 10n has two consecutive integral solutions, then n is equal to :-JEE MAINS-Mathematics-20171 Answer
Notes
Mathematics-2017CBSE Class 6 Mathematics NCERTMA2111 Mathematics - IAIPMT 2007 mains question paperCE2207 SURVEY PRACTICAL I Networks Laboratory Manual -10CSL77CurvatureCG lab manual for 6th semGATE-Computer-Science-Engineering-2017CBSE- class10- Chemistry 2017Not the answer you're looking for? Browse other questions from this Question paper or ask your own question.
Use Me ?