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In Fig. ABC is a triangle co-ordinates o...

In Fig. ABC is a triangle co-ordinates of whose vertex A are `(0, -1)`. D and E respectively are the mid-points of sides AB and AC their co-ordinates are `(1, 0)` and `(0,1)` respectively. If F is the mid-point of BC find the areas of `triangleABC` and `triangleDEF`

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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. A circle has its centre at the origin and a point P (5,0) lies on it ....

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  2. The points A (-6,10), B(-4,6) and C(3,-8) are collinear such that ...

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  3. In Fig. ABC is a triangle co-ordinates of whose vertex A are (0, -1). ...

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

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  5. Find a point which is equidistant from the points A(-5,4) and B (-1,6)...

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  6. Find the points on the X-axis which are at distance of 2sqrt(5) from...

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  7. What type of quadrilateral do the points A (2,-2), B (7,3) C(11,-1) an...

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  8. Find the point on x-axis which is equidistant from the points (-2,\...

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  9. Find the coordinates of the point Q on the X- axis which lies on the ...

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  10. Show that four points (1, -2), (3, 6), (5, 10) and (3, 2) are the vert...

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  11. Name the type of triangle formed by the points A (-5,6) , B (-4,-2) an...

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  12. In the following examples , can the segment joining the given points f...

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  13. Do the points A(3,\ 2),\ \ B(-2,\ -3) and C(2,\ 3) form a triang...

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  14. The line segment joining the points (3, -4) and (1, 2) is trisected at...

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  15. If the point P(m ,\ 3) lies on the line segment joining the poin...

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  16. Point P divides the line segment joining the points A(-1,3) and B(9,...

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  17. Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in ...

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  18. If R(x , y) is a point on the line segment joining the points P(a , b)...

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  19. Find the ratio in which the line x + 3y -14 = 0 divides the line segme...

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  20. If the points (p ,\ q),\ (m ,\ n) and (p-m ,\ q-n) are collinear...

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