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JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES
1
Easy
1 of 1
Application
+4 | -1
The coordinates of the point where origin should be shifted so that the equation will not contain term in and the constant term, are
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Correct option: A
Option A (3/4, -2) is correct because by shifting the origin to this point, the y term and the constant term vanish in the transformed equation.
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If first degree terms and constant term are to be removed from the equation then the origin must be shifted at the point
The pedal points of a perpendicular drawn from origin on the line , is
In order to remove -term from the equation the coordinate axes must be rotated through an angle
For which of the following value of , the slope of the line (where ) is .
If the origin is shifted to the point without rotation, then the equation becomes -
The point undergoes the following two successive transformation
(i) Reflection about the line
(ii) Translation through a distance 2 units along the positive -axis
Then the final coordinates of the point are
(i) Reflection about the line
(ii) Translation through a distance 2 units along the positive -axis
Then the final coordinates of the point are
