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If a, b, c are in G.P. and also a, b, c ...

If a, b, c are in G.P. and also a, b, c are in A.P.
Prove that: `1/a+1/c=2/b`

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ICSE-MIXED PRACTICE -SET B
  1. If the sum of first 20 terms of an A.P. is same as the sum of its firs...

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

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  3. 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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  4. Evaluate : 9 + 99 + 999 + ........... upto n terms.

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

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

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

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

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

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

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

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

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

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  14. The given figure shows, AB is a diameter of the circle. Chords AC and ...

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  15. Use ruler and compasses for this question. Construct an isosceles tr...

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  16. Use ruler and compasses for this question. Draw AD, the perpendicula...

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  17. Use ruler and compasses for this question. Draw a circle with centre...

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  18. In triangle ABC, angleBAC = 90^@, AB = 6 cm and BC = 10 cm. A circle ...

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  19. A conical vessel of radius 6 cm and height 8 cm is completely filled w...

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  20. Prove that : (1+cotA)/(cosA)+(1+tanA)/(sinA)=2(secA+"cosec"A)

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