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Find the co ordinate on the Y axis cut by the straight line `2x+3y=12`

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Find the co ordinate on the X axis cut by the straight line 2x-3y=12

Find the co ordinate on the X axis cut by the straight line 2x+3y=12

(a) Determine the co-ordinates of the point on the straight line 2x-3y=12 whose abscissa is double of its ordinate.

The straight line 4x + 3y - 12 = 0 intersects the x -and y-axis A and B respectively. Find the coordinates of the point at which the straight line bar(AB) is divided internally into the ratio 2 : 1.

Find the area of the region cut off by the straight line 3x-2y+12=0 from the parabola 3x^(2)=4y .

(b) Determine the co-ordinates of the point on the straight line 11x-7y+10=0 whose ordinate is 3 times of its abscissa.

Determine the co-ordinates of the point intersection of the equation 2x+3y=12 on the x-axis.

(x) Find the area of the triangle formed by the straight line 2sqrt(ax)+y=a with the co-ordinates axes.

Find the image of the point (5,-7) with respect to the straight line 2x-3y=18 .

Find the co-ordinates of the point of intersection of the equation 2x-3y=12 on the y-axis.

CALCUTTA BOOK HOUSE-THEOREMS ON AREAS-EXERCISE-3
  1. The ratio of the base and height of a triangle is 7 : 6, the sum of it...

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  2. O is any point inside the equilateral triangle ABC. The perpendicular ...

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  3. Find the co ordinate on the Y axis cut by the straight line 2x+3y=12

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  4. The area of the parallelogram ABCD is 44 sq.cm. P is the mid-point of ...

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  5. A square and a rhombus stand on the same base of length 10 cms. Show t...

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  6. In the isosceles DeltaABC, AB = AC , O is any point on the side BC. OP...

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  7. In the trapezium ABCD, AB || DC. The diagonals AC and BD of it interse...

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  8. Prove that the line segment joining the mid-points of the lateral side...

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  9. Side of a equilateral triangle is 7 ,find its hight.

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  10. If a square and a rhombus lie on the same base, then find logically wh...

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  11. Prove that the area of a rhombus is half the area of the rectangle pro...

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  12. D, E and F are the mid-points of the sides AB, BC and CA of the DeltaA...

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  13. If E be the mid-point of the median AD of DeltaABC, then prove that De...

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  14. Prove that two diagonals of a parallelogram divides it into four trian...

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  15. P is any point on AD, the median of DeltaABC. Prove that DeltaABP=Delt...

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  16. P is any point in the interior of the parallelogram ABCD. Prove that D...

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  17. In the trapezium ABCD, AB || DC and the diagonals AC and BD intersects...

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  18. The diagonals AC and BD of a quadrilateral ABCD intersects each other ...

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  19. D and E lie on the side AB and AC of DeltaABC such that DeltaDBC=Delta...

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  20. Prove that if each diagonal of a quadrilateral bisects it into two tri...

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