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

image
image
image

ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test

Sr. # Questions Answers Choice
1 Number of conics is 1 3 2 4
2 The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at (acos a,asin a) (a,0) (cos a,sin a) (0,0)
3 The number of standard parabolic functions are is 4 2 3 1
4 The parabolay2=4ax open up if a<0 a≠0 a>0 All are incorrect
5 y=-a is the equation of the directrix of y2 =4ax x2=-4ay x2=4ay y2=-4ax
6 Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ) xcosθ+ysinθ =5 xcosθ -ysinθ =0 xsinθ -ycosθ =0 None of these
7 For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0 k=0 k=0 or 26 k = 26 k=-13
8 Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is k = 9 k = ±9 k=-9 k=11
9 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
10 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
11 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
12 Two tangents drawn from (2,3) to the circle x2+y2 =9 are Real and distinct Imaginary Real and coincident None of these
13 The centre of the circle x2+y2 -2fx-2gy+x=0 is (-g,-f) (g,f) (f,g) (-f,-g)
14 x =r cosθ,y= sinθ are the parametric equations of Circle Ellipse Parabola Hyoerbola
15 The common point to four standard parabolas Focus Centre Vertex P(x,y)
16 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)
17 The span of a standard parabola depends upon x a y y2
18 If a > 0 they parabola y2 =-4ax lies in I and iv quadrant I quadrant II and III quadrant All are incorrect
19 The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if a≠ b,h≠0 a=b h≠0 h=0
20 The equation of the tangent at vertex to the parabola is y2 = -8(x -3) y=0 x=3 x=1 x=5
21 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
22 The equation of vertical asymptotes of y = cos ecx is x = 0 y = 0 x =∞ y =∞
Download This Set
×