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Solve for x , using the properties of pr...

Solve for x , using the properties of proportionality `(1+x+x^2)/(1-x+x^2)=(62(1+x))/(63(1-x))`

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ICSE-MIXED PRACTICE -SET B
  1. If a neb and a : b is the duplicate ratio of (a + c) and (b + c). sho...

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  2. If 16((a-x)/(a+x))^3=((a+x)/(a-x)) , show that : a = 3x .

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  3. Solve for x , using the properties of proportionality (1+x+x^2)/(1-x+x...

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  4. Show that 2x + 7 is a factor of 2x^3 + 7x^2 - 4x - 14 Hence, solve the...

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  5. What number should be subtracted from 2x^3 - 5x^2 + 5x + 8 so that th...

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  6. The expression 4x^(3)-bx^(2)+x-c leaves remainders 0 and 30 when divid...

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  7. If for two matrices M and N, N =[(3,2),(2,-1)] and product MxxN = [-1...

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  8. If the sum of first 20 terms of an A.P. is same as the sum of its firs...

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  9. If a, b, c are in A.P., show that: (b + c), (c + a) and (a + b) are al...

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  10. If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+...

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  11. Evaluate : 9 + 99 + 999 + ........... upto n terms.

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  12. Find the point on the y-axis whose distances from the points (3, 2) an...

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  13. In what ratio does the point P (a, 2) divide the line segment joining ...

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  14. A straight line makes on the co-ordinate axes positive intercepts whos...

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  15. The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point ...

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  16. The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point ...

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  17. In a triangle PQR, L and M are two points on the base QR, such that an...

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  18. In a triangle PQR, L and M are two points on the base QR, such that an...

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  19. In a triangle PQR, L and M are two points on the base QR, such that an...

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  20. In a rectangle ABCD, its diagonal AC = 15 cm and angleACD = alpha If ...

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