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Important Questions on Lines and Angles

EASY

Which of the option figures is the exact mirror image of the given figure when the mirror is held at the right side?

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EASY

Select the correct mirror image of the given alphanumeric-cluster when a mirror is placed on the right side of the cluster.

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EASY

Select the correct mirror image of the given letter-cluster when a vertical mirror is placed on the right side of the cluster. EWGZMPK

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MEDIUM

Find the point on y-axis which is equidistant from the points 5,-2 and -3,2.

MEDIUM
Let ABCD be a square of side length 1, and Γ a circle passing through B and C, and touching AD. The radius of Γ is
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ABC is an isoceless triangle. If the coordinates of the base are B(1, 3), C(-2, 7), the coordinates of A are
MEDIUM

Select the correct mirror image of the given letter-cluster when a vertical mirror is placed on the right side of the cluster.

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MEDIUM

Find the point on the x-axis which is equidistant from (2,-5) and (-2, 9).

HARD
If the distance between the points (x,0) and (-7, 0) is 10. Then, the possible values of x are ______.
MEDIUM
Let x0,y0 be fixed real numbers such that x02+y02>1. If x, y are arbitrary real numbers such that x2+y21, then the minimum value of x-x02+y-y02 is
 
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The distance between the points acos θ+bsin θ, 0 and 0, asin θ-bcos θ, is 
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If x, y is equidistant from a+b, b-a and a-b, a+b , then
HARD
If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), then prove that x=y.
EASY

Select the correct mirror image of the given figure when the mirror is placed to the right side of the figure.

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MEDIUM

Find the relation between x and y such that point x,y is equidistant from the points 7,1 and 3,5.

HARD
If C is the midpoint of the line segment joining A4,0 and B0,6 and if O is the origin, then show that C is equidistant from all three vertices of OAB.
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The distance between the points (0,0) and (-8, 6) is

EASY

Which of the option figures is the exact mirror image of the given figure when the mirror is held at the right side?

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HARD
Let ABCD be a square of side length 1 . Let P,Q,R,S be points in the interiors of the sides AD,BC,AB,CD respectively, such that PQ and RS intersect at right angles. If PQ=334, then RS equals
MEDIUM
Let A=a1,a2 and B=b1, b2 be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between A and B?