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If A(-3,5),B(-2,-7),C(1,-8)a n dD(6,3) a...

If `A(-3,5),B(-2,-7),C(1,-8)a n dD(6,3)` are the vertices of a quadrilateral ABCD find its area.

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area of quadrilateral =Area of `triangle ABC`+ area of `triangle DAC`
Area of triangle=`1/2(x_1(y_2-y^3)+x_2(y_3-y_1)-x_3(y_1-y_2))`
Area of `triangle ABC`=`1/2|-3(-7+8)-2(-8-5)+1(5+7)|`
`1/2|-3+26+12|`
...
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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. A point P divides the line segment joining the points A(3,-5)a n dB(-4...

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  2. If G be the centroid of a triangle ABC, prove that, AB^2 + BC^2 + CA...

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  3. If A(-3,5),B(-2,-7),C(1,-8)a n dD(6,3) are the vertices of a quadrilat...

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  4. The line segment joining the points P(3,3)a n dQ(6,-6) is trisected at...

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  5. If the area of A B C formed by A(x , y),B(1,2)a n dC(2,1) is 6 squae ...

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  6. Show that the points (a , a),(-a ,-a) and (-sqrt(3)a ,sqrt(3)a) are th...

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  7. The x-coordinate of a point P is twice its y-coordinate. If P is eq...

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  8. If A(4,-6),B(3,-2)a n dC(5,2) are the vertices of A B C , then verify...

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  9. Three vertices of a parallelogram ABCD are A(3,-4),B(-1,-3)a n dC(-6,2...

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  10. The base PQ of two equilateral triangles PQR and PQR’ with side 2a lie...

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  11. Let ABCD be a square of side 2a. Find the coordinates of the vertices ...

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  12. Find the coordinates of the vertices of an equilateral triangle of sid...

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  13. The area of the triangle formed by (a , b+c),(b , c+a)a n d(c , a+b) ...

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  14. If the points A(4,3)a n dB(x ,5) are on the circle with centre O(2,3),...

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  15. Find the equation of the perpendicular bisector of AB, where A and B ...

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  16. If the point (x , y) is equidistant from the points (a+b , b-a) and ...

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  17. Find the distance between the points: P(-6,7) andQ(-1,-5) R(a+b , a-b...

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  18. Find the angle subtended at the origin by the line segment whose end ...

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  19. Prove that the points (2,3),(-4,-6)a n d(1,3/2) do not form a triangle...

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  20. Show that the points (-3,2),(-5,-5),(2,-3) and (4,4) are the vertices...

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