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# Coordinate Geometry

10th Class - CBSE - Mathematics - 2552 Questions - 0 Concepts

#### Important Questions

Q1 Single Correct Hard
If a line intercepted between the coordinate axes is trisected at a point $A(4, 3),$ which is nearer to $x-$axis, then its equation is
• A. $4x-3y=7$
• B. $3x+8y=36$
• C. $x+3y=13$
• D. $3x+2y=18$

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q2 Single Correct Hard
The angle subtended at the point $(1,2,3)$ by the points $P(2,4,5)$ and $Q(3,3,1)$ is
• A. ${60}^{o}$
• B. ${30}^{o}$
• C. ${0}^{o}$
• D. ${45}^{o}$
• E. ${90}^{o}$

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q3 Subjective Hard
$A (-a , 0) ; B (a,0)$ are fixed points. $C$ is a point which divides internally $AB$ in a constantly ration $\tan \alpha .$ If $AC$ & $CB$ subtend equal angles at $P,$ that the equation of the locus of $P$ is $x^2 + y^2 + 2ax \sec 2 \alpha + a^2 = 0$

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q4 Single Correct Hard
If $P\left( x,y,z \right)$ is a point on the line segment joining $Q\left( 2,2,4 \right)$ and $R\left( 3,5,6 \right)$ such that the projections of $OP$ on the axis are $\cfrac { 13 }{ 5 } ,\cfrac { 19 }{ 5 } ,\cfrac { 26 }{ 5 }$ respectively, then $P$ divides $QR$ in the ratio
• A. $1:2$
• B. $2:3$
• C. $1:3$
• D. $3:2$

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q5 Subjective Hard
Three vertices of a parallelogram $ABCD$ taken in order are $A\left( 3,6 \right)$, $B\left( 5,10 \right)$ and $C\left( 3,2 \right)$ find :
(i) the coordinates of the fourth vertex $D$.
(ii) length of diagonal $BD$.
(iii) equation of side $AB$ of the parallelogram $ABCD$.

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q6 Subjective Hard
Prove that the points (0, -5), (4, 3) and (-4, -3) lie on the circle centred at the origin with radius 5.

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q7 Subjective Hard
In the point $C(1, 1)$ divides the line segment joining $A(-2, 7)$ and B in the ratio $3:2$, find the coordinates of B.

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q8 Subjective Hard
In what ratio does the point $(-2, 3)$ divide the line segment joining the points $(-3, 5)$ and $(4, -9)$?

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q9 Subjective Hard
Find the coordinates of the midpoint of the line joining the points $(-3, 10)$ and $(6, -8)$.

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Q10 Subjective Hard
Find the ratio in which the line segment joining  the  points  $A(3,- 3)$ and $B(- 2, 7)$ is divided by the x-axis. Also find the coordinates of the point of division.

Asked in: Mathematics - Coordinate Geometry

1 Verified Answer | Published on 05th 09, 2020

Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65