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Prove that the line joining the mid-poin...

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

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Using Theorem 6.2, prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. (Recall that you have done it in class IX).

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of trapezium and is half of their difference.

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segments joining the mid-points of the sides of a triangle from four triangles, each of which is similar to the original triangle.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the equation of the straight line which passes through the point ...

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  2. If A(2,0),B(0,2)a n dC(0,7) are three vertices, thaken in order, of an...

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  3. Prove that the line joining the mid-points of the two sides of a tr...

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  4. A ray of light passing through the point (1,2) reflects on the x-a xi ...

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  5. Prove that A(4,3),B(6,4)a n dC(5,6)a n dD(3,5) are the angular points ...

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  6. What is the value of y so that the line through (3,y)a n d(2,7) is par...

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  7. Let A(6,4)a n dB(2,12) be two given points. Find the slope of a line p...

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  8. Find the angle between the lines joining the point (0,0),(2,3) and the...

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  9. Determine x so that the line passing through (3,4)a n d(x ,5) makes ...

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  10. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

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  11. Find the equation of a straight line which passes through the point of...

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  12. Classify the following pairs of lines as coincident, parallel or int...

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  13. Find the slope of the lines which make an angle of 45^0 with the line ...

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  14. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

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  15. If the point as (4,7) and (costheta,sintheta) , where 0<theta<pi , lie...

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  16. Find the centroid and in-centre of the triangle, equations of whose s...

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  17. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

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  18. Find the tangent of the angle between the lines whose intercepts on th...

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  19. Find the value of k if the straight line 2x+3y+4+k(6x-y+12)=0 is perpe...

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  20. Find the values of beta so that the point (0,beta) lies on or inside t...

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