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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. $$3x+2y=18$$

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1 Verified Answer | Published on 05th 09, 2020

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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

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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 $$ x^2 + y^2 + 2ax \sec 2 \alpha + a^2 = 0 $$

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1 Verified Answer | Published on 05th 09, 2020

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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

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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

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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


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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


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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


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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


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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


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Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65
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