ECAT Mathematics Chapter 20 Analytic Geometry Online Test With Answers

image
image
image

ECAT Mathematics Chapter 20 Analytic Geometry Online Test

Sr. # Questions Answers Choice
1 If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is x- y= 5 x+ y+ =5 x+ y= -5 5x +5y =21
2 If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______ -1 1 -4 4
3 If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then k = 2 k = ±2 k = -2 k ≠0
4 The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is 120° 30° 130° 45°
5 The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is 30° 60° 45° 90°
6 The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of Square Parallelogram Rectangle Trapezium
7 Area of the triangle whose vertices are (2,3),(0,1),(0,0) is 6 2 4 1
8 The equation of the line perpendicular to x- axis and passing through (-5,3) is y -3 =0 x+ 3 =0 y- 3 =∞ x +5 =0
9 The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0 Same side P above and origin below Opposite side P below and origin above
10 The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an) Right triangle Equilateral triangle Isosceles triangle Scalene triangle
11 The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is x+ y+ 1= 0 x+ y- 2= 0 x+ y+ 2= 0 2x +y +2 =0
12 The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at (1,1) (0,1) (1,0) (0,0)
13 The line l is horizontal if m is undefined m=0 m=1 m=0-1
14 The coordinates of a point P(x,y) referred to XY-system are (x+y,y+k) (x-h,y-k) (x,y) (x-h,y-k)
15 The point of concurrency of the medians of the ΔABC is called its Orthocenter Centriod Circumcentre Incentre
16 If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then p = -14 p = -1 p =0 p=12
17 If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then h=2a h=a+b h=ab h=ac
18 Area bounded between the curve xy=2 and the lines x=1 and x=2 ln2 square units ln√2 square units ln4 square units Square units
Download This Set