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Straight Lines

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1480 minutes

Feb 03, 1:20 PM

80.0 marks

MCQ

20 questions

SURYA KANT SHARMA

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Maths

Class 11th

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Question Text

Question 1 :
Find the equation of the line that passes through the points $(-1,0)$ and $(-4,12)$

Question 2 :
Let ABC be a right angled triangle whose vertices are $A(0, 0), B(-8, 8)$, and $C(x, 8)$ respectively, then the possible value of x is

Question 3 :
Find the slope of the line that passes through the points $(-1,0)$ and $(3,8)$

Question 4 :
If the points $A(3, 4)$, $B(7, 12)$ and $P(x, x)$ are such that $(PA)^{2}> (PB)^{2}> (AB)^{2},$ then integral value of $x$ can be

Question 5 :
Area of a triangle whose vertices are (0, 0), (2, 3) , (5, 8) is ________

Question 6 :
Given two points $A \equiv ( - 2,0)$ and $B \equiv (0,4)$, then find coordinate of a point $P$ lying on the line $2x-3y=9$ so that perimeter of $\Delta APB$ is least.

Question 7 :
Area of the triangle formed by the pair of tangents drawn from(-1, 4) to $y^2 = 16x$ and the chord of contact of (-1, 4) is

Question 8 :
If the line $2x+y=k$ passes through the point which divides the line segment joining the points $(1, 1)$ and $(2, 4)$ in the ratio $3 : 2$ ,then $k$ equals:

Question 9 :
The distance of the point $A(a, b, c)$ from the x-axis is

Question 10 :
A vertical line $l$ passes through the point $(2,3)$. A horizontal line $m$ passes through the point $(-1,6)$. Where do lines $l$ and $m$ intersect?

Question 11 :
$A$ is the point on the y-axis whose ordinate is $5$ and $B$ is the point $(-3, 1)$. Calculate the length of $AB$.

Question 12 :
The vertices of a triangle are $A(3,4)$, $B(7,2)$ and $C(-2, -5)$. Find the length of the median through the vertex A.

Question 13 :
The line which is parallel to x-axis and crossed the curve $\displaystyle y=\sqrt { x } $ at an angle $\displaystyle { 45 }^{ \circ }$, is

Question 14 :
The points given are $(1, 1)$, $(-2, 7)$ and $(3, 3)$.Find distance between the points.

Question 15 :
Shortest distance between the curves $9x^2 + 9y^2- 30y + 16 = 0 \:and \:y^2 = x^3$ is

Question 16 :
$a, b, c$ are in A.P. and the points $A(a, 1), B(b, 2)$ and $C(c, 3)$ are such that $(OA)^{2}, (OB)^{2}$ and $(OC)^{2}$ are also in A.P; $O$ being the origin, then

Question 17 :
$ABC$ is an equilateral triangle. If the coordinates of two of its vertices are ($1, 3)$ and $(-2, 7)$ the coordinates of the third vertex can be

Question 18 :
On the line $y = 2x - 1$, what is the approximate distance between the points where $x = 1$ and $x = 2$?

Question 19 :
If the vertices of a triangle are $(1,2),(4,-6)$ and $(3,5)$, then its area is

Question 20 :
The equation ot the line passing through the point $( 1 , - 2,3 )$ and parallel to the line$x - y + 2 z = 5$ and $3 x + y + z = 6$ is

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