Test Details

Straight Line

Nov 12, 5:20 PM

45 minutes

Nov 12, 6:05 PM

25.0 marks

MCQ

25 questions

Nishu Yadav

I have 10 Years Of Teaching Experience In Few Prestigious school's like Delhi Public School and Meerut Public School. In the course of my career, I have been proud my students were able to secure good academic results in Maths & Science.

Class Details

Maths

Zeal Academy (Class 11)

Maths

"The Important Thing Is To Never Stop Questioning.......... And Hence, At Our Academy We Encourage A Students To Question More"

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Question Text

Question 1 :
Consider a triangle ABC, whose vertical are $A(-2,1), B(1, 3) and C(x,y)$ .If C is a moving point such that area of $\Delta ABC$ is constant,then locus of C is:

Question 2 :
$A(0, 0), B(7, 2), C(7, 7)$ and $D(2, 7)$ are the vertices of a quadrilateral. The respective slopes of diagonals $AC$ and $BD$ are <br/>

Question 3 :
The slope of the line passing through the points $A(-2, 1)$ and $B(0, 3)$ is:<br/>

Question 4 :
Which of the following is perpendicular to the line x/3 + y/4 = 1?

Question 5 :
Find the distance between the following pair of points.<br/>$(7, 8)$ and $(-2, -3)$

Question 6 :
Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3) Find the area of the triangle

Question 8 :
The centroid of the triangle with vertices (2,6), (-5,6) and (9,3) is

Question 9 :
The points $(-2, -1), (1, 0),(4, 3),$ and $(1, 2)$ are the vertices

Question 10 :
The distance between $M(-1,5)$ and $N(x,5)$ is $8$ units. The value of $x$ is:

Question 11 :
The angle of inclination of a straight line parallel to x-axis is equal to

Question 12 :
How far is the line 3x - 4y + 15 = 0 from the origin?

Question 13 :
The slope of the line joining the point (-8,-3)and (8,3) is

Question 15 :
$A=\left(2,-1\right), B=\left(4,3\right)$. If $AB$ is extended to $C$ such that $AB=BC$, then $C=$

Question 17 :
The condition for the points (x,y), (-2,2) and (3,1) to be collinear is

Question 19 :
What is the value of k, if the line $\displaystyle 2x-3y=k$ passes through the origin.

Question 20 :
The area of the triangle formed by the points (a,b+c), (b,c+a) and (c,a+b) is

Question 21 :
The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is

Question 24 :
Find a point on the y-axis which is equidistant from (3, 2) and (-5, -2).<br>

Question 25 :
If the projections of a line segment on the x, y and z axes in $3$-dimensional space are $2, 3$ and $6$ respectively, then the length of line segment is

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