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India
Class XI

Geometrical Problems with Coordinates

Interactive practice questions

$A$A$\left(-2,-1\right)$(2,1), $B$B$\left(0,0\right)$(0,0) and $C$C$\left(1,k\right)$(1,k) are the vertices of a right-angled triangle with right angle at $B$B.

a

Find the value of $k$k.

b

Find the area of the triangle.

Easy
9min

Consider any right-angled triangle with a base of $b$b and a height of $h$h, placed in the coordinate plane as shown.

Easy
5min

$ABCD$ABCD is a rhombus as shown on the number plane.

Easy
2min

Given Line P: $y=-6x-4$y=6x4, Line Q: $y=\frac{x}{6}+6$y=x6+6, Line R: $y=-6x-1$y=6x1 and Line S: $y=\frac{x}{6}+1$y=x6+1.

Medium
2min
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Outcomes

11.CG.SL.1

Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axes, point-slope form, slope-intercept form, two-point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.

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