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Using determinants, find the area of the triangle whose vertices are (1, 4), (2, 3) and (-5, -3). Are the given points collinear?

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If the points (a1, b1),\ \ (a2, b2) and (a1+a2,\ b1+b2) are collinear,...

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  2. If the points (2,\ -3),\ (lambda,\ -1) and (0,\ 4) are collinear, find...

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  3. Using determinants, find the area of the triangle whose vertices ar...

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  4. Find the equation of the line joining A(1,\ 3) and B(0,\ 0) using d...

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  5. If A(x1, y1),B(x2, y2)a n dC(x3,y3) are vertices of an equilateral tri...

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  6. A triangle has its three sides equal to a , ba n dc . If the coordinat...

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  7. Find the area of the triangle with vertices at the points: (3, 8), ...

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  8. Find the area of the triangle with vertices at the points: (0, 0), ...

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  9. Using determinants show that the following points are collinear: (1...

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  10. Find dy/dx if y=x^3-x^10

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  11. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

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  12. Using determinants prove that the points (a ,\ b),\ (a^(prime),\ b^...

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  13. Prove that the points (-2,\ 5),\ (0,\ 1) and (2,\ -3) are collin...

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  14. Find the value of x if the area of is 35 square cms with vertices ...

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  15. Using determinants, find the area of the triangle whose vertices ar...

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  16. Using determinants, find the area of the triangle with vertices (-3...

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  17. Find dy/dx if x=9y^3-2x

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  18. If the points (x ,\ -2),\ (5,\ 2) and (8,\ 8) are collinear, find x us...

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  19. If the points (3, -2), (x ,\ 2) and (8 ,8) are collinear, find x us...

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  20. Find the value of k for which the area of tringle is 4 sq units whe...

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