ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test

Sr. # Questions Answers Choice
1 The line joining the center of a circle to the midpoint of the chord is Perpendicular to the tnagent Perpendicular to the normal Perpendicular to the chord Perpendicular to the chord
2 Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21 -3x + 4y =21 4x - 3x = 0 -3x + 4y = 25 None of these
3 Area of the circle with ends of a diameter at (-3,2) and (5,-6) 128π sq. units 64π sq. units 32π sq.units None of these
4 Two tangents drawn from (2,3) to the circle x2+y2 =9 are Real and distinct Imaginary Real and coincident None of these
5 The centre of the circle x2+y2 -2fx-2gy+x=0 is (-g,-f) (g,f) (f,g) (-f,-g)
6 x =r cosθ,y= sinθ are the parametric equations of Circle Ellipse Parabola Hyoerbola
7 The common point to four standard parabolas Focus Centre Vertex P(x,y)
8 Equation of parabola with focus F(-3,1) directrix x=3 is (y -1)2 =-12x (y-1)2 =4x (x+3)2 =4a(y-1) y2 =-12(x-1)
9 The span of a standard parabola depends upon x a y y2
10 If a > 0 they parabola y2 =-4ax lies in I and iv quadrant I quadrant II and III quadrant All are incorrect
11 The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if a≠ b,h≠0 a=b h≠0 h=0
12 The equation of the tangent at vertex to the parabola is y2 = -8(x -3) y=0 x=3 x=1 x=5
13 The straight line passing through the focus and perpendicular to the directrix of the conic is known as its Tangent axis Focal chord major or manor axis
14 The equation of vertical asymptotes of y = cos ecx is x = 0 y = 0 x =∞ y =∞
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