Download CLASS:XI MATHEMATICS-WORKSHEET CONIC 1.Find a) the

CLASS:XI
MATHEMATICS-WORKSHEET
CONIC
1.Find a) the shortest distance of the point (8,1) from the circle (x + 2)2+ (y-1)2 = 25
b) the farthest distance of the point (1,5) from the circle (x-1)2+(y+1)2=16
2.Find the centre and radius for each of the given circles
a).2x2 +2y2 = x
b).x 2+y -8x2 +10 y - 2 =0 c) x2 + y2 +x –y =0 d)
3. Which of the following represent a circle
a) x2+y2 +x - y = 0
b) x2+ y2 +2x +10 y +26=0
c) 2x2+ 2y2= 5x +7y +3
4.Write the equation of the circle whose centre is origin and passes through the point
(3,4).
5.Find the equation of the circle passing through the points (0,0) , (0,1) ,(2,3)
6.Find the length of latus rectum of each of the following parabolas
a) y2 = 8x
b) 3y2 = --12x c) x2 = 16y
d) x 2 = --10y
7.Find the co-ordinates of focus of each of the following parabolas
a) y2=12x
b)y2= --8x c)x2 = 16y d) x2 = --9y
8.Find co-ordinates of focus , axis of parabola ,the equation of the directrix and length of
the latus rectum for each of the following parabola.
a) y2 = 12x b) y2 = - 8x c) x 2= 6 y d) 3x2 = 4y
9.Find the equation of the parabola with
a) focus at ( -3,0) and directrix x-3 = 0
b) focus at ( 0,4) and directrix y+4=0
c) focus at (0,--3) and directrix y=3
10.Find the co-ordinate of the foci , vertices,lengths of major axis, minor axis,latus –
rectum and eccentricity.
𝑥2
𝑦2
a) 36 + 16 = 1
𝑥2
𝑦2
b) ) 49 + 36 = 1
c) )
𝑥2
4
𝑦2
+ 25 =1
d) 16x2 + 9y2 = 144
11.Find the equation of the ellipse whose
a) vertices are ( + 13,0) and foci are (+ 5,0)
b) vertices are (0, + 13) and foci are ( 0,+ 5)
c) end points of major axis are ( + 3,0) and of minor axis are ( 0, + 3)
d) end points of major axis are ( 0, + √5) and of minor axis are ( +1 ,0)
e) length of major axis is 26 and foci are ( +5 ,0)
f) length of major axis is 20 and foci are ( 0,+ 5)
4
g) ) vertices are (0 , + 13) and e = 5
12.Find the equation of the ellipse whose centre is at the origin ,foci on x-axis,distance
of a focus from centre is 4 and length of semi minor axis is 3.
13.Find the co-ordinates of foci ,vertices ,lengths of transverse axis,conjugate axis,latus
rectum and the eccentricity for each of the following hyperbolas.
a) 9x2 – 16y2 = 144
b)
𝑦2
9
𝑥2
− 27 = 1 c) x2 – y 2 = 1 d) 3x2 – 2y2 =1
14.Find the equation of the hyperbola
a) vertices are ( + 5,0) and foci are (+ 7,0)
b) vertices are (0, + 5) and foci are ( 0,+ 8)
c) foci are( + 5,0) and length of transverse axis is 8
d) foci are( + 4,0) and length of latus rectum is 12
e) foci are(0, + 4) and length of latus rectum is 36
4
f) ) vertices are (0 ,+ 7) and eccentricity = 3
3
g) foci are( + 2,0) and eccentricity =2