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

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

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

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

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

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

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

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

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  9. Solve the following system of equations by Cramers rule 2x-y=17 , 3...

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  10. Solve the following system of equations using Cramers rule. 5x-7y+z=11...

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  11. Find dy/dx if x+2y=3

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  12. Show that the following system of equations is inconsistent: 2x+y=3...

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  13. Find dy/dx if y=x-2x^4+x^7

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  14. Using determinants, show that the following system of linear equation ...

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  15. Using Cramers rule, solve the following system of linear equations: (a...

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  16. Using determinants, show that the following system of equations is ...

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  17. Solve the following system of equations by using determinants: x+y+z=1...

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  18. The sum of three numbers is 6. If we multiply the third number 2 and ...

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  19. Solve the system of equations2/x+3/y+(10)/z=4,4/x-6/y+5/z=1,6/x+9/y-(2...

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  20. If f(x)=a x^2+b x+c is a quadratic function such that f(1)=8,f(2)=11 a...

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