Using analytical method prove that the m...

Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is equidistant from the three vertices .

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Long Type Questions )

The points P,Q,R are collinear , if the coordinates of P and Q be (3,4...
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The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and...
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The coordinates of the points A and B are (3,4) and (5,-2) respective...
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The area of a quadrilateral is 28 square unit. If the coordinates of i...
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If x(1),x(2),x(3) as well as y(1),y(2),y(3) are in G.P. with the sa...
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Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y...
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Find the point to which the origin should be shifted so that the equat...
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Show that the distance between two points remains unaltered by the tra...
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Reduce the equation x+y+5=0 andx-2y+2=0 to the form ax+by =0 by prope...
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Choose a new origin (h,k) (retaining the directions of axes) so that t...
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Show that the straight line joining the mid - points of two sides of a...
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Show that the straight lines joining the mid - points of the opposite ...
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Prove analytically that the area of a triangle is four times that of t...
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Using analytical method prove that the mid - point of the hypotenuse o...
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If two medians of a triangle are equal , prove analytically that the t...
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Using coordinate geometry prove that an isosceles traigle has two equa...
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D,E,F are the mid - points of the sides overline(BC),overline(CA)andov...
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ABC is a right angled triangle right angled at B. If P and Q are the m...
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