Loading [MathJax]/jax/element/mml/optable/BasicLatin.js

CBSE Questions for Class 11 Engineering Maths Straight Lines Quiz 9 - MCQExams.com

The points (3,0),(6,4) and (1,3) are vertices of a right-angled  triangle. Show that it is an isosceles triangle.
  • True
  • False
If the points P(a,11),Q(5,b),R(2,15) and S(1,1) are the vertices of a parallelogram ABCD, find the values of a and b.
  • a=5,b=3
  • a=4,b=10
  • a=4,b=3
  • None of these
State true or false
Points (2,1),(1,0),(4,3)  and (1,2)  are the vertex of the parallelogram 
  • True
  • False
The area of the triangle with vertices at (4,1),(1,2)(4,3) is
  • 14
  • 16
  • 15
  • None of these
Prove that The lines ax+by+c=0 and Ax+By+C=0 are perpendicular if aA+bB=0.
  • True
  • False
The coordinates of the point where the line joining P(3,4,1) and Q(5,1,6) crosses the xy-plane are:
  • (135,235,0)
  • (135,235,0)
  • (135,235,0)
  • (135,235,0)
The area of the triangle whose vertices are (3,8), (-4,2) and (5,-1) is 
  • 75 sq.units
  • 37.5 sq.units
  • 45 sq.units
  • 22.5 sq.units
If (3,2) and (3,2) are two vertices of an equilateral triangle which contains within it the origin, what are the coordinates of the third vertex ?
  • (2,22)
  • (1,22)
  • (0,33)
  • None of these
The curve y=ax3+bx2+cx+5 touches the x-axis at P(2,0) and cuts the y-axis at a point Q where its gradient is 3. Then the value of a,b,c is 
  • A=92, B=12, C=35
  • A=12, B=34, C=3
  • A=92, B=34, C=3
  • A=92, B=12, C=35

Find the value of x such that AB=BC where the coordinates of A, B and C are (2,1), (x,0)  and (-2,-1) respectively.

  • 1
  • 2
  • -2
  • 0
Find the value of x_i, if the distance between the points (x_i, 2) and (3, 4) is 8.
  • 3\pm 2\sqrt{15}
  • 3\pm \sqrt{15}
  • 2\pm 3\sqrt{15}
  • 2\pm \sqrt{15}
The coordinates of a point on Y-axis which are at a distance of 5\sqrt 2 from the point P(3,-2,5) is -
  • (0,6,0) or (0,-2,0)
  • (0,-6,0) or (0,2,0)
  • (0,4,0) or (0,-4,0)
  • (0,5,0) or (0,-5,0)
C is a point on the line segment joining A(-3, 4) and B (2, 1) such that AC = 2 BC then coordinates of C are
  • \left( {\dfrac{1}{3},2} \right)
  • \left( {2,\dfrac{1}{3}} \right)
  • \left( {2,7} \right)
  • \left( {7,2} \right)
Find the area of the triangle formed by joining the mid points of the sides of the triangle whose vertices are (0.-1), (2, 1) and (0, 3)
  • 4
  • 8
  • 1
  • 2
If Q(0, 1) is equidistant from P(5, -3) and R(x, 6), find the values of x. Also find the distances QR and PQ.
  • PQ=QR=\sqrt { 41}
  • PQ=20, QR=\sqrt { 29 }
  • PQ= \sqrt { 29 } , QR= 20
  • PQ=\sqrt { 19 } , QR = 21
What is the y intercept of the line that is parallel to y=3x, and which bisects the area of rectangle with corners at (0,0), (4,0) ,(4,2) and (0,2)
  • -7
  • -6
  • -5
  • -4
Find the area of the triangle whose vertices are (-5, -1), (3, -5), (5, 2)
  • 31 sq units
  • 32sq units
  • 33 sq units
  • \text{no triangle can be formed}
An aeroplane flying horizontally 1, above the ground is observed at an elevation of 60 and after 10 seconds the elevation is observed to be 30. The uniform speed of the aeroplane in /h is-
  • 240
  • 240\sqrt { 3 }
  • 60\sqrt { 3 }
  • None of these
The points A(a, 0), B(0, b), C(c, 0) & D(0, d) are such that ac=bd & a, b, c, d are all non-zero. Then the  points.
  • Form a parallelogram
  • Do not lie on a circle
  • Form a trapezium
  • Are concyclic
Find the coordinates of the point equidistant from the points A(-2, -3), B(-1, 0) and C(7, -6).
  • (3, -3)
  • (-3, 3)
  • (-2, -3)
  • (-3, -3)
Distance between A(x, y) and B(-4, 7) is \sqrt{41}. Find x and y, if A's ordinate is thrice of its abscissa.
  • (\frac{-12}{5},\frac{36}{5})
  • (1,\dfrac{12}{5})
  • \text{both a and b} 
  • none
The ends of the base of an isosceles triangle are at (2a, 0) and (0, a) and one side is parallel to Y-axis. The equation of the other side is?
  • x+2y-a=0
  • x+2y=2a
  • 3x+4y-4a=0
  • 3x-4y+4a=0
If A(-2,1),B(2,3) and C(-2,-4) are three points, then the angle between BA and BC is:
  • \tan ^{ -1 }{ \left( \cfrac { 3 }{ 2 } \right) }
  • \tan ^{ -1 }{ \left( \cfrac { 2 }{ 3 } \right) }
  • \tan ^{ -1 }{ \left( \cfrac { 7 }{ 4 } \right) }
  • none\ of\ these
A straight line L through the point (3,-2) is inclined at an angle 60 to the line \sqrt { 3 } x+y=1. If L also intersects the x-axis, the equation of L is-

  • y+\sqrt { 3 }x+2-3\sqrt { 3 }=0
  • y-\sqrt { 3 }x+2+3\sqrt { 3 }=0
  • \sqrt { 3 } y-x+3+2\sqrt { 3 } =0
  • \sqrt { 3 } y+x-3+2\sqrt { 3 } =0
A straight line is drawn through the point p\ (2,3) and is inclined at an angle of 30^{o} with the x-axis, the co-ordinates of two points on it at a distance of 4 from p is/are
  • \left(2+2\sqrt{3},5\right), \left(2-2\sqrt{3},1\right)
  • \left(2+2\sqrt{3},5\right), \left(2+2\sqrt{3},1\right)
  • \left(2-2\sqrt{3},5\right), \left(2-2\sqrt{3},1\right)
  • none\ of\ these
The points given are (1, 1), (-2, 7) and (3, 3).Find distance between the points.
  • \sqrt45,7,\sqrt{8}
  • \sqrt{10},7,8
  • \sqrt{3},1,2
  • None of the above
The points (a, b), (-a, -b), (b\sqrt{3}, -a\sqrt{3}) are the vertices of a triangle which is
  • Isosceles
  • Equilateral
  • Right angled
  • Scalene
A line passing through (3,4) meets the axis \overline {OX} and \overline {OY} at A and B respectively. Find the minimum area of triangle OAB. 
  • 12
  • 10
  • 24
  • 6
If the vertices of a triangle are (1,2),(4,-6) and (3,5), then its area is
  • \cfrac{23}{2} sq. units
  • \cfrac{25}{2} sq. units
  • 12 sq.unit
  • none of these
ABC is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7), the coordinates of vertex A can be
  • (1,6)
  • (-1/2,5)
  • (5/6,6)
  • none of these
0:0:2


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 11 Engineering Maths Quiz Questions and Answers