1
The vertices of a triangle are (pq, 1/(pq)), (qr, 1/(qr)) and (rq, 1/( ...
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2
A square of side a lies above the x-axis and has one vertex at the ori ...
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3
Vertices of a variable triangle are (3, 4), (5 cos θ, 5 sin θ) and (5 ...
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4
The line x/3 + y/4 = 1 meets the y-axis and x-axis at A and B, respect ...
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5
A line 'L' is drawn from P(4, 3) to meet the lines L1 and L2 given by ...
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6
In a triangle ABC if A = (1, 2) and internal angle bisectors through B ...
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7
Two sides of a triangle are along the coordinate axes and the medians ...
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8
A rectangular billiard table has vertices at P (0, 0), Q (0, 7), R (10 ...
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9
In △ABC the coordinates of the vertex A are (4,-1) and lines x-y-1=0 a ...
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10
The area enclosed by 2|x |+ 3|y| ≤ 6 is ...
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11
The lines y = mx, y intercepts on line x + y = 1, then mx make equal ...
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12
The condition on a and b, such that the portion of the line ax + by - ...
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13
The area of the triangle formed by the lines y = ax, x + y - a = 0 and ...
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14
Consider points A(3, 4) and B(7, 13). If P be a point on the line y = ...
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15
If the straight lines 2x + 3y - 1 = 0, x + 2y - 1 = 0 and ax + by - 1 ...
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16
A light ray emerging from the point source placed at P(2, 3) is reflec ...
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17
Let O be the origin. If A(1, 0) and B(0, 1) and P(x, y) are points suc ...
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18
The graph y + 2xy + 40|x| =400 divides the plane into regions. Then th ...
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19
P, Q, R and S are the points of intersection with the coordinate axes ...
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20
If sum of the distances of a point from two perpendicular lines in a p ...
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21
If two vertices of a triangle are (-2, 3) and (5,-1), orthocentre lies ...
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22
If u = a1x + b1y + c1 = 0, v = a2x + b2y + c2 = 0 and a1 / a2 =b2/b2=c ...
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23
The point A (2, 1) is translated parallel to the line x - y = 3 by a d ...
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24
A rectangle ABCD has its side AB parallel to line y = x and vertices A ...
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25
Consider the points A(0, 1) and B(2, 0), and P be a point on the line ...
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26
A straight line passing through P(3, 1) meets the coordinate axes at A ...
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27
In a triangle ABC, A = (α, β), B = (2, 3) and C = (1, 3) and point A l ...
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28
If a / bc-2 =( b/c)^.5 +(c/b)^.5, where a, b, c > 0, then family of li ...
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29
One of the diagonals of a square is the portion of the line x/2 + y/3= ...
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30
Distance of origin from line (1+√3)y+(1-√3)x=10 along the line y=√3x+k ...
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31
The area of a parallelogram formed by the lines ax +- by +- c = 0 is ...
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32
The straight line ax + by + c = 0 where abc ≠ 0 will pass through the ...
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33
OPQR is a square and M, N are the middle points of the sides PQ and QR ...
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34
One diagonal of a square is along the line 8x - 15y = 0 and one of its ...
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35
An equation of a line through the point (1, 2) whose distance from the ...
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36
A line of fixed length 2 units moves so that its ends are on the posit ...
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37
P(m, n) (where m, n are natural numbers) is any point in the interior ...
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38
In a triangle ABC, the bisectors of angles B and C lie along the lines ...
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39
If the vertices of a triangle are (√5, 0), (√3, √2) and (2, 1), then t ...
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