Question types

Brief Review Of Cartesian System Of Rectangular Coordinates question types

46 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

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Sample Questions

Brief Review Of Cartesian System Of Rectangular Coordinates questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If the point $(\text{a},0)(\text{a}\text{t}_1^2, 2\text{a}\text{t}_2)\text{ and }(\text{a}\text{t}_2^2, 2\text{a}\text{t}_2)$ are collinear, write the value of $\text{t}_1\text{t}_2.$ 
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The vertices of a triangle are O(0, 0), A(a, 0) and B(0, b).Write the distance between the circumcenter and orthocentre of $\triangle \text{OAB}$ .
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Q 123 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 153 Marks Question3 Marks
A(5, 3), B(3, -2) are two fixed points; find the equation to the locus of a point P which moves so that the area of the triangle PAB is 9 units.
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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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