Straight Lines Test 52

Result

Straight Lines Test 52

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The area of a triangle whose sides are $$ a , b $$ and $$ c $$ is

A
$$ \sqrt { ( s - a ) ( s - b ) ( s - c ) } $$ sq. units

B
$$ \sqrt { s ( s + a ) ( s + b ) ( s + c ) } $$ sq. units

C
$$ \sqrt { s ( s \times a ) ( s \times b ) ( s \times c ) } $$ sq. units

D
$$ \sqrt { s ( s - a ) ( s - b ) ( s - c ) } $$ sq. units
Question 2
1 / -0

The arrangement of the areas of the triangles formed by the following points in ascending order is
i) P(0,0), Q(4,0), R(0,3)
ii) P(0,0), Q(5,0), R(0,2)
iii) P(0,0), Q(0,5), R(6,0)
iv) p(3,0), Q(0,6), R(0,0)

A
i,ii,iii,iv

B
ii,i,iii,iv

C
ii,i,iv,iii

D
iv,iii,ii,i

Solution
Question 3
1 / -0

two medians drawn from the acute angles of a right angled triangle interect at the angle $$\pi /6$$ if thelength the hypotenuse of the triangle is 3 units then the area of the triangle is

A
$$\sqrt { 3 } $$

B
3

C
$$\sqrt { 2 }$$

D
9

Solution
Question 4
1 / -0

If $$m_1$$ and $$m_2$$ are the roots of the equation $$x^2 +(\sqrt 3 +2) x + \sqrt 3 - 1 = 0 $$, then the area of the triangle formed by the lines $$y=m_1x,y=-m_2x$$ and $$y=1$$ is:

A
$$\dfrac{1}{2} \Bigg ( \dfrac{-\sqrt 3 + 2}{\sqrt 3 -1} \Bigg )$$

B
$$\dfrac{1}{2} \Bigg ( \dfrac{-\sqrt 3 + 2}{\sqrt 3 +1} \Bigg )$$

C
$$\dfrac{1}{2} \Bigg ( \dfrac{\sqrt 3 + 2}{\sqrt 3 -1} \Bigg )$$

D
$$\dfrac{1}{2} \Bigg ( \dfrac{\sqrt 3 + 2}{\sqrt 3 +1} \Bigg )$$
Question 5
1 / -0

In $$\triangle ABC,A(1,2);B(5,5),\angle ACB={ 90 }^{ 0 }$$. If area of $$\triangle ABC$$ is to be 6.5 sq. units, then the possible number of points for C is

A
1

B
2

C
0

D
4
Question 6
1 / -0

The area inside the parabola $$5x^2 - y = 0 $$ but outside the parabola $$2x^2 - y + 9 = 0$$ is

A
$$12\sqrt{3}$$ sq.units

B
$$6\sqrt{3}$$ sq.units

C
$$8\sqrt{3}$$ sq.units

D
$$4\sqrt{3}$$ sq.units
Question 7
1 / -0

The inclination of the line y=$$\sqrt { 3 } x+3$$ is

A
$$\dfrac { \pi }{ 4 } $$

B
$$\dfrac { 3\pi }{ 4 } $$

C
$$\dfrac { \pi }{ 2 } $$

D
$$\dfrac { \pi }{ 3 } $$

Solution
Question 8
1 / -0

Area of the triangle formed by co-ordinate axes and the line x + y = 5 is

A
$$\dfrac { 5 }{ 2 } $$

B
$4\dfrac { 25 }{ 2 } $$

C
$$\dfrac { 75 }{ 2 } $$

D
$$\dfrac { 125 }{ 2 } $$
Question 9
1 / -0

The centroid and two vertices of a triangles are (4,-8), (-9,7), (1,4) then the area of the triangle is

A
333 sq.units

B
166.5 sq.units

C
111 sq.units

D
55.5 sq.units
Question 10
1 / -0

In a conference hall 10 executive are to be seated on 10 chairs placed left to right. Executive $$E_1$$ wants to sit to the right of $$E_2$$ Also, $$E_4$$ wants to sit the left of $$E_1$$ and $$E_5$$ wants to sits to the left of ways $$E_4$$ Number of ways the executives can be seated on the 10 chairs, is

A
$$\dfrac{10!}{4!}$$

B
$$\dfrac{10!}{3}$$

C
$$10!$$

D
$$3 \times \dfrac{10!}{4!}$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Straight Lines Test 52

Result

Straight Lines Test 52

Score

-

Rank

-

SHARING IS CARING

Question 1

$$ \sqrt { ( s - a ) ( s - b ) ( s - c ) } $$ sq. units

$$ \sqrt { s ( s + a ) ( s + b ) ( s + c ) } $$ sq. units

$$ \sqrt { s ( s \times a ) ( s \times b ) ( s \times c ) } $$ sq. units

$$ \sqrt { s ( s - a ) ( s - b ) ( s - c ) } $$ sq. units

Question 2

i,ii,iii,iv

ii,i,iii,iv

ii,i,iv,iii

iv,iii,ii,i

Solution

Question 3

$$\sqrt { 3 } $$

3

$$\sqrt { 2 }$$

9

Solution

Question 4

$$\dfrac{1}{2} \Bigg ( \dfrac{-\sqrt 3 + 2}{\sqrt 3 -1} \Bigg )$$

$$\dfrac{1}{2} \Bigg ( \dfrac{-\sqrt 3 + 2}{\sqrt 3 +1} \Bigg )$$

$$\dfrac{1}{2} \Bigg ( \dfrac{\sqrt 3 + 2}{\sqrt 3 -1} \Bigg )$$

$$\dfrac{1}{2} \Bigg ( \dfrac{\sqrt 3 + 2}{\sqrt 3 +1} \Bigg )$$

Question 5

1

2

0

4

Question 6

$$12\sqrt{3}$$ sq.units

$$6\sqrt{3}$$ sq.units

$$8\sqrt{3}$$ sq.units

$$4\sqrt{3}$$ sq.units

Question 7

$$\dfrac { \pi }{ 4 } $$

$$\dfrac { 3\pi }{ 4 } $$

$$\dfrac { \pi }{ 2 } $$

$$\dfrac { \pi }{ 3 } $$

Solution

Question 8

$$\dfrac { 5 }{ 2 } $$

$4\dfrac { 25 }{ 2 } $$

$$\dfrac { 75 }{ 2 } $$

$$\dfrac { 125 }{ 2 } $$

Question 9

333 sq.units

166.5 sq.units

111 sq.units

55.5 sq.units

Question 10

$$\dfrac{10!}{4!}$$

$$\dfrac{10!}{3}$$

$$10!$$

$$3 \times \dfrac{10!}{4!}$$

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.