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.

46
Questions
4
Question groups
5
Question types
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.

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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A point moves as so that the difference its distances from (ae, 0) and (-ae, 0) is 2 a, prove that the equation to its locus is $\frac{\text{x}^2}{\text{a}^2}-\frac{\text{y}^2}{\text{b}^2}=1 $, where $\text{b}^2=\text{a}^2(\text{e}^2-1).$
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