CBSE Questions for Class 11 Engineering Maths Straight Lines Quiz 3 - MCQExams.com

Which of the following are the co-ordinates of the centre of the circle that passes through $$P(6, 6), Q(3, 7)$$ and $$R(3, 3)$$? 
  • $$(3, -2)$$
  • $$(2, -3)$$
  • $$(0,0)$$
  • $$(2,-2)$$
Find the area of triangle having vertices are $$A (3, 1), B (12, 2)$$ and $$C (0, 2)$$.
  • $$4$$
  • $$6$$
  • $$12$$
  • $$18$$
What type of a quadrilateral do the points $$A (2, 2), B (7, 3), C (11, 1) $$ and $$D (6, 6) $$ taken in that order, form?
  • Scalene quadrilateral
  • Square
  • Rectangle
  • Rhombus
The area of a triangle with vertices $$(a, b + c), (b, c + a)$$ and $$(c, a + b)$$ is
  • $$a$$
  • $$b$$
  • $$c$$
  • $$0$$
The line $$3x-4y+8=0$$ is rotated through an angle $$\displaystyle \frac { \pi  }{ 4 } $$ in the clockwise direction about the point $$(0,2)$$. The equation of the line in its new position is 
  • $$7y+x-14=0$$
  • $$7y-x-14=0$$
  • $$7y+x-2=0$$
  • $$7y-x=0$$
Find the area of triangle having vertices $$A (6, 10), B (4, 5)$$ and $$C (3, 8)$$ .
  • $$5$$
  • $$5.5$$
  • $$10$$
  • $$11$$
Plot $$(3, 0), (5, 0)$$ and $$(0, 4) $$ on cartesian plane. Name the figure formed by joining these points and find its area.
  • Figure formed is a Rectangle  and Area $$= 52$$ sq. unit
  • Figure formed is a triangle  and Area $$= 4$$ sq. unit
  • Figure formed is a square  and Area $$= 40$$ sq. unit
  • None of these
The area of a triangle with vertices $$A (3, 0), B (7, 0)$$ and $$C (8, 4)$$ is
  • $$14$$
  • $$28$$
  • $$8$$
  • $$6$$
If the perpendicular distance of a point $$P$$ from the $$x$$-axis is $$5$$ units and the foot of the perpendicular lines on the negative direction of $$x$$-axis, then the point P has?
  • $$x$$ coordinate $$= 5$$
  • $$y$$ coordinate $$= 5$$ only
  • $$y$$ coordinate $$= - 5$$ only
  • $$y$$ coordinate $$= 5$$ or $$-5$$
The points $$A (2, 9), B (a, 5)$$ and $$C (5, 5) $$ are the vertices of a triangle $$ABC$$ right angled at $$B$$. Find the values of  $$a$$ and hence the area of $$\Delta $$ $$ABC$$.
  • $$a = -1$$ , Area $$=$$ $$15$$ sq. unit
  • $$a = 2$$ , Area $$=$$ $$6$$ sq. unit
  • $$a = 0 $$ , Area $$=$$ $$8$$ sq. unit
  • $$a = 1$$ , Area $$=$$ $$12$$ sq. unit
If (0, 0), (3, 0) and (x, y) are  the vertices of an equilateral  triangle, then the value of x and  y is
  • $$\left ( \frac{3}{2},\frac{3\sqrt{3}}{2} \right )or\left ( ^{3}_{2},\frac{-3\sqrt{3}}{2}\right )$$
  • $$\left ( \frac{1}{2},\sqrt{2} \right )or \left ( \frac{1}{2},-\sqrt{2} \right )$$
  • $$\left ( \frac{1}{3},1 \right )or \left ( \frac{1}{3}, -1\right )$$
  • none of these
The area of triangle ABC (in sq. units) is :

83706_088922710b574545a8f7651f07c37951.png
  • $$15$$ sq. units
  • $$10$$ sq. units
  • $$7.5$$ sq. units
  • $$2.5$$ sq. units
Say true or false.
The area of the triangle formed by the points $$(x_1, y_1), (x_2, y_2)$$ and $$(x_3, y_3)$$ is the numerical value of the expression
$$\dfrac {1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]$$
  • True
  • False
Area of the triangle formed by the points P(-1.5, 3), Q(6, -2) and R(-3, 4) is 0.
  • True
  • False
  • Ambiguous
  • Data insufficient
The angle made by the line whose intercepts are 3 and $$3\sqrt 3$$ on X and Y axis respectively with X-axis is .....
  • $$30^0$$
  • $$120^0$$
  • $$60^0$$
  • $$90^0$$
In the given figure if $$O, P, Q$$ and $$R$$ are the vertices of a square and the co-ordinates of $$P$$ are $$(K, p)$$, the values of $$k$$ and $$p$$ are

97413.PNG
  • $$k = -4$$ and $$p = 0$$
  • $$k = 0$$ and $$p = - 4$$
  • $$k = -2$$ and $$p = 0$$
  • $$k = 0$$ and $$p = -2$$
A circle that has its center at  the origin and passes through  $$(-8, -6)$$ will also pass through  the point
  • $$(1, 10)$$
  • $$(4, 7)$$
  • $$(7, 7)$$
  • $$(9,\sqrt{19})$$
If the vertices of a triangle are $$(-2, 0), (2, 3)$$ and $$(1, - 3)$$, then the triangle is
  • scalene
  • equilateral
  • isosceles
  • right triangle
Perimeter of the triangle whose vertices are $$(3,2) (7,2) (7,5)$$ is
  • $$14$$
  • $$12$$
  • $$10$$
  • $$8$$
The distance or origin from the point P(3,2) is :
  • $$\sqrt 2$$
  • $$\sqrt {15}$$
  • $$\sqrt {13}$$
  • $$\sqrt {11}$$
In the given figure, which of the following points lies within the circle?

97429.png
  • $$(3.5, 9.5)$$
  • $$(-7, 7)$$
  • $$(-10, 1)$$
  • $$(-10, -1)$$
If A $$(-3, 0)$$ and C $$(5, 2)$$ are the end points of diagonal $$AC$$ of rectangle $$ABCD$$, with $$B$$ on the x- axis, the perimeter of the rectangle $$ABCD$$ is
  • $$20$$
  • $$24$$
  • $$28$$
  • $$30$$
On the Cartesian plane. PQR is an isosceles triangle.
The perimeter of $$\Delta PQR$$ is
113249.png
  • 16 units
  • 18 units
  • 20 units
  • 22 units
If the point P(x, y) is equidistant from the points A$$(a+b,  b-a)$$ and B$$(a-b,  a+b)$$, then which of the following condition is true?
  • $$ax=by$$
  • $$bx=ay$$
  • $$x^{2}-y^{2}=2(ax+by)$$
  • P can be (a, b)
The distance between which two points is 2 units ?
  • $$(-2, -3)$$ and $$(-2, -4)$$
  • $$(0, 4)$$ and $$(6, 0)$$
  • $$(7, 2)$$ and $$(6, 2)$$
  • $$(4, -3)$$ and $$(2, -3)$$
The coordinates of the point on the $$\displaystyle x-$$ axis which is equidistant from the points $$\displaystyle(-3,4) $$ and $$\displaystyle(2,5)$$ are :
  • $$\displaystyle(20,0)$$
  • $$\displaystyle(-23,0)$$
  • $$\left(\dfrac{4}{5},0\right)$$
  • none of these
A(3, -4), B(-5, 6), then the distance between these two points is 
  • $$ \sqrt{41}$$
  • $$3\sqrt{41}$$
  • $$4 \sqrt{41}$$
  • $$2 \sqrt{41}$$
The diagram shows a rectangle on a Cartesian plane. M is the midpoint of PQ.
The coordinate of R are:

113259_130e55f1cb2f4834b78ea2d80e5f5846.png
  • (9, 6)
  • (8, 6)
  • (9, 1)
  • (10, 6)
P is the point $$(-5,  3)$$  and Q is the point $$ (-5,  m)$$. If the length of the straight line PQ is 8 units, the the possible value of "m" is:
  • $$-5 $$ and 5
  • $$-5 $$ or 11
  • $$-5 $$ or $$-11$$
  • 5 or 11
What is the length of the line segment AB?
  • 8 units
  • 1 units
  • 13 units
  • 15 units
0:0:1


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