Brief Review Of Cartesian System Of Rectangular Coordinates - CBSE STD 11 Science Maths Questions

Write the coordinates of the in-centre of the triangle with vertices at (0, 0), (5, 0) and (0, 12).

If the points (1, -1), (2, -1) and (4, -3) are the mid-points of the sides of a triangle, then write the coordinates of its centroid.

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Q 31 Marks Question1 Mark

Write the coordinates of the orthocentre of the triangle formed by point(8, 0),(4, 6) and (0, 0).

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Q 41 Marks Question1 Mark

Write the area of the triangle with vertices at (a, b + c), (b, c + a) and (c, a + b).

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Q 51 Marks Question1 Mark

Write the coordinates of the circumcentre of a triangle whose centroid and orthocentre are at (3, 3) and (-3, 5), respectively.

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Q 62 Marks Questions2 Marks

Find what the following equations become when the origin is shifted to the point $(1, 1)?$
$x^2 + y^2 − 2x − 2y = 0$

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Q 72 Marks Questions2 Marks

Find what the following equations become when the origin is shifted to the point $(1, 1)$?
$x^2 + y^2 − x + 2y = 0$

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Q 82 Marks Questions2 Marks

Find the locus of a point equidistant from the point(2, 4) and the y-axis.

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Q 92 Marks Questions2 Marks

Find the locus of a point which is equidistant from (1, 3) and the x-axis.

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Q 102 Marks Questions2 Marks

What does the equation $(x - a)^2 + (y - b)^2 = r^2$ become when the axes are transferred to parallel axes through the point $(a - c, b)$?

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Q 113 Marks Question3 Marks

Find the locus of a point such that the sum of its distances from (0, 2) and (0, -2) is 6.

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Q 123 Marks Question3 Marks

Find the equation of the locus of a point which moves such that the ratio of distances from (2, 0) and (1, 3) is 5 : 4.

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Q 133 Marks Question3 Marks

What does the equation $(\text{a} − \text{b}) (\text{x}^2 + \text{y}^2) −2\text{abx} = 0$ become if the origin is shifted to the point $\Bigg(\frac{\text{a}\text{b}}{\text{a}-\text{b}},0\Bigg)$ without rotation?

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Q 143 Marks Question3 Marks

Find the locus of a point which moves such that its distance from the origin is three times its distance from the x-axis.

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Q 153 Marks Question3 Marks

Find what the following equations become when the origin is shifted to the point $(1, 1).$
$x^2 + xy − 3y^2 − y + 2 = 0$

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Q 165 Marks Questions5 Marks

The base of an equilateral triangle with side 2a lies along the they-axis such that the mid-point of the base is at the origin. Find the vertices of the triangle.

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Q 175 Marks Questions5 Marks

Verify that the area of the triangle with verticies (2, 3), (-3, -1) remains invariant under the translation of axes when the origin is shifted to the point (-1, 3).

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Q 185 Marks Questions5 Marks

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first deree terms:
$x^2 + y^2 - 5x + 2y - 5 = 0$

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Q 195 Marks Questions5 Marks

Four point A(6, 3), B(-3, 5), C(4, -2) and D(x, 3x) are given in such a way that $\frac{\triangle\text{DBC}}{\triangle\text{ABC}}=\frac{1}{2}$, find x.

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Q 205 Marks Questions5 Marks

A rod of length l slides between two perpendicular lines. Find the locus of the point on the rod which divides it in the ratio 1 : 2.

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Brief Review Of Cartesian System Of Rectangular Coordinates question types

Brief Review Of Cartesian System Of Rectangular Coordinates questions

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Brief Review Of Cartesian System Of Rectangular Coordinates Maths - Brief Review Of Cartesian System Of Rectangular Coordinates

Brief Review Of Cartesian System Of Rectangular Coordinates question types

Brief Review Of Cartesian System Of Rectangular Coordinates questions

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