CBSE Questions for Class 11 Engineering Maths Straight Lines Quiz 6 - MCQExams.com

The distance of the origin from the point of intersection of $$x+y=11$$ and $$x-y-3=0$$ is _____________.
  • 7
  • 14
  • $$\sqrt{65}$$
  • $$\sqrt{33}$$
The co-ordinates of the vertices of a rectangle are $$(0, 0), (4, 0), (4, 3)$$ and $$(0, 3)$$. The length of its diagonal is
  • $$4$$
  • $$5$$
  • $$7$$
  • $$3$$
If the length of the line AB, joining $$A(4, 1)$$ and $$B(3, a)$$ is $$\sqrt{10}$$, then the value of $$'a'$$ is 
  • $$2$$
  • $$1$$
  • $$-3$$
  • $$-2$$
The straight lines $$x + y - 4 =0,\ 3x + y - 4 =0$$, and $$x + 3y -4 = 0$$ form a triangle which is :
  • isosceles
  • right angled
  • equilateral
  • None of these
If the distance between $$(8, 0)$$ and A is $$7$$, then co-ordinates of the point A can not be
  • $$(8, -7)$$
  • $$(8, 7)$$
  • $$(1, 0)$$
  • $$(0,-8)$$
If the distance between the points (4,k) and (1 ,0) is 5, then k is equal to
  • $$4$$
  • $$-2$$
  • $$2$$
  • $$\pm 4$$
Find a point on x-axis which is equidistant from $$A(7, 6)\ and\ B(-3, 4)$$
  • $$(2 , 0)$$
  • $$(4 , 0)$$
  • $$(3, 0)$$
  • $$(5, 0)$$
$$(0, 0), (0, 3)$$ and $$(3, 0)$$ form ___________.
  • a straight line
  • an equilateral triangle
  • a scalene triangle
  • a right triangle
Find the point on the y-axis which is equidistant from $$A(3, -6)$$ and $$B(-2, 5)$$.
  • $$\displaystyle \left ( \frac{9}{11}, 0 \right )$$
  • $$\displaystyle \left ( 0, \frac{8}{11} \right )$$
  • $$\displaystyle \left ( 0, \frac{-8}{11} \right )$$
  • $$\displaystyle \left ( 0, \frac{9}{11} \right )$$
The midpoints of the sides of triangle $$ABC$$ are $$ (-1,-2), (6,1)$$ and $$(3,5) $$. The area of $$\displaystyle \triangle ABC$$ is ____ square units.
  • $$72$$
  • $$73$$
  • $$74$$
  • $$75$$
The point on the x-axis which is equidistant from the points $$(5,4)$$ and $$(-2,3)$$ is
  • $$(-2,0)$$
  • $$(2,0)$$
  • $$(0,2)$$
  • $$(2,2)$$
Find the perimeter of the triangle formed by the points $$(3, 5), (4, 8)$$ and $$(5, 6)$$.
  • $$\sqrt{5}(2 + \sqrt{2})$$
  • $$\sqrt{3}(2 + \sqrt{2})$$
  • $$\sqrt{2}(5 + \sqrt{3})$$
  • $$\sqrt{5}(2 + \sqrt{3})$$
One end of a diagonal of a square is $$(2, 0)$$ and its slope is $$1$$. If the length of the side of a square is $$2$$ units, then write all the possible coordinates of the other end.
  • $$(4, 2)$$
  • $$(0, 2)$$
  • $$(2, 4)$$
  • $$(-2, 0)$$
$$L, M$$ and $$N$$ are the midpoints of the sides $$BC, CA$$ and $$AB$$ respectively of triangle $$ABC$$. If the vertices are $$A(3,-4), B(5,-2)$$ and $$C(1,3)$$ the area of $$\displaystyle \triangle LMN$$ is ____ square units.
  • 2.25
  • 2.5
  • 2.75
  • 3
If mid point of the line segment joining (2a,4) and (-2,3b) is (1,2a+1), then the values of a and b are given by 
  • a=2, b=-2
  • a=b=2
  • a=1=b
  • a=-2, b=2
If the distances of $$P(x,y)$$ from $$A(-1,5)$$ and $$B(5,1)$$ are equal, then
  • $$2x=y$$
  • $$3x=2y$$
  • $$3x=y$$
  • $$2x=3y$$
If coordinates of P,Q, and R are (3,6),(-1,3) and (2,-1) respectively. Then area of $$\displaystyle \triangle PQR$$ is ____ square units.
  • 12
  • 12.5
  • 13
  • 14
The area of triangle formed by $$(0, 0), (0, a)$$ and $$(b, 0)$$ is .......... .
  • $$ab$$
  • $$\displaystyle \frac{ab}{2}$$
  • $$\left | \displaystyle \frac{ab}{2} \right |$$
  • $$\left | ab \right |$$
The inclination of a line is $$30^{\circ}$$, then the slope of the line is
  • $$0$$
  • $$1$$
  • $$\sqrt{3}$$
  • $$\displaystyle \frac{1}{\sqrt{3}}$$
Area of triangle whose vertices are $$(0, 0), (2, 3), (5, 8)$$ is ____ square units.
  • $$\dfrac 12$$
  • $$1$$
  • $$2$$
  • $$\dfrac 32$$
The area of a triangle with the vertices $$(1, 2), (3, 4)$$ and $$(5, 6)$$, is ____ square units.
  • $$0$$
  • $$1$$
  • $$2$$
  • $$5$$
If $$(1, 2), (3, 4)$$ and $$(0, 6)$$ are the three vertices of a parallelogram taken in that order, then the fourth vertex is .......... .
  • $$(2, 4)$$
  • $$(-2, 4)$$
  • $$(4, 2)$$
  • $$(-4, 2)$$
Find the area of $$\Delta ABC$$, in which $$A = (2, 1), B = (3, 4)$$ and $$C = (-3, -2).$$
  • $$3$$ square units
  • $$4$$ square units
  • $$6$$ square units
  • $$12$$ square units
The area of the triangle formed by the points $$(2, 6), (10, 0)$$ and $$(0, k)$$ is zero square units. Find the value of $$k.$$
  • $$\dfrac {15}{2}$$
  • $$\dfrac 32$$
  • $$\dfrac 72$$
  • $$\dfrac {13}{2}$$
Area of a triangle whose vertices are (0, 0), (2, 3) , (5, 8) is _______ square units.
  • 1/2
  • 1
  • 2
  • 3/2
The points (6 , 2) (2 , 5) and ( 9 , 6) form the vertices of a _________ triangle
  • right
  • equilateral
  • right isosceles
  • scalene
Find the equation of a line passing through the points A(3, -5) and (4, -8)
  • 3x + y = 4
  • 3x + 2y = 5
  • x + 3y = 4
  • 4x = 3y
The area of triangle with vertices $$A(5,\,0),\,B(8,\,0)$$ and $$C(9,\,5)$$ is
  • $$7\dfrac{1}{4}$$
  • $$7\dfrac{1}{2}$$
  • $$\dfrac{15}{4}$$
  • None of the above
The area of the triangle formed from points $$(1, 2), (2, 4)$$ and $$(3, 1)$$ is ____ square units.
  • $$\dfrac{5}{2}$$
  • $$\dfrac{2}{5}$$
  • $$\dfrac{3}{2}$$
  • $$2$$
$$\triangle OPQ$$ is formed by the coordinates $$P(0,\,5),\, Q(8,\,0)$$ and origin $$O$$. The area of $$\triangle OPQ$$ is ____ square units.
  • $$20$$ sq. units
  • $$10$$ sq. units
  • $$30$$ sq. units
  • None of the above
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