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  #1  
26th June 2015, 01:14 PM
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Hyperbola EAMCET

Hello I have applied for the Engineering, Agriculture and Medical Common Entrance Test (EAMCET) Engineering and doing the preparation of the Hyperbola chapter but I get some difficulties in it so can you please provide me the tips and tricks to prepare on Hyperbola for EAMCET Engineering?
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  #2  
5th June 2020, 01:43 PM
Super Moderator
 
Join Date: Aug 2012
Re: Hyperbola EAMCET

Hyperbola EAMCET

Q. The locus of a point p(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola x2/ a2 - y2/ b2 = 1 is
A. A parabola

B. A hyperbola

C. An ellipse

D. A circle

E. None of the above


Q.The equation of the hyperbola in the standard form (with transverse axis along the x-axis) having the length of the latus rectum = 9 units and eccentricity = 5/4 is
A. x2/ 16 - y2/18 = 1

B. x2/ 36 - y2/27 = 1

C. x2/ 64 - y2/36 = 1

D. x2/ 36 - y2/64 = 1

E. None of the above

Q.The equation to the hyperbola having its eccentricity 2 and the distance between its foci is 8
A. x2 / 12 - y2 / 4 = 1

B. x2 / 4 - y2 / 12 = 1

C. x2 / 8 - y2 / 2 = 1

D. x2 / 16 - y2 / 9 = 1

E. None of the above

The equation of the normal to the hyperbola x2/ 16- y2/ 9 = 1 at (-4, 0) is
A. y=x

B. y=0

C. x=0

D. x=-y

E. None of the above

Q. The product of the lengths of perpendiculars drawn from any point on the hyperbola x2 - 2y2 - 2 = 0 to its asymptotes is
A. 1/2

B. 2/3

C. 3/2

D. 2

E. None of the above

Q. If the foci of the ellipse x2/ 16 + y2/ b2 = 1 and the hyperbola x2/ 144 - y2/ 81 = 1/25 coincide, then the
A. 1

B. 5

C. 7

D. 9

E. None of the above


The coordinates of the foci of the rectangular hyperbola xy = c2 are
A. (±c, ±c)

B. (±c√2, ±c√2)

C. (±c/√2, ±c/√2)

D. (±√2/c, ±√2/c)

E. None of the above

Question Paper:





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