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VITEEE
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The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latus rectum is

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Important Questions on Conic Sections

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VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 53
The foci of the ellipse x216+y2b2=1 and the hyperbola x2144-y281=125 coincide, then value of b2 is
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VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 1
The locus of a point which moves so that the ratio of the length of the tangents to the circles x2+y2+4x+3=0 and x2+y2-6x+5=0 is 2: 3 is
MEDIUM
VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 2
Consider a family of circles which are passing through the point -1,1 and are tangent to x-axis. If h,k are the coordinate of the centre of the circles, then the set of values of k is given by the interval
MEDIUM
VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 3
The length of the common chord of the circles x-a2+y2=c2 and x2+y-b2=c2 is
MEDIUM
VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 4
The total number of common tangents to the two circles x2+y2-2x-6y+9=0 and x2+y2+6x-2y+1=0 is 
MEDIUM
VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 5
A ray of light travels along a line y=4 and strikes the surface of a curve y2=4(x+y) then equation of the line along reflected ray travel 
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VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 6
The number of common tangents to the circles x2+y2=4 and x2+y2-6x-8y=24 is
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VITEEE
IMPORTANT
Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 2>Q 7
The slope of tangents drawn from a point (4,10) to the parabola y2=9x are