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True or false: The compound ratio of `ab : c^2` ,`bc : a^2` and `ca : b^2` is 1 : 1.

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Write True or False Compound ratio of ab:c^2, bc:a^2 and ca: b^2 is 1:1.

The compound ratio of the ratios ab : c^(2), bc : a^(2) " and " ca : b^(2) " is " 1 : 1 .

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Write True or false : (a) The duplicate ratio of 1 : ab is 1 : a^(2)b^(2) (b) The sub-duplicate ratio of 4:9 is 3:2.

Let's find the G.C.D of the following expressions. a^2 + b^2 - c^2 + 2ab, c^2 + a^2 - b^2 + 2ca, b^2 + c^2 - a^2 + 2bc

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Without expanding the determinant, prove that {:|( a, a ^(2), bc ),( b ,b ^(2) , ca),( c, c ^(2) , ab ) |:} ={:|( 1, a^(2) , a^(3) ),( 1,b^(2) , b^(3) ),( 1, c^(2),c^(3)) |:}

If a, b, c are in geometric progression, then show that, (a^(2) + ab + b^(2))/(ab + bc + ca) = (a + b)/(b + c)

Using determinant : show that the area of the triangle with vertices at (a^2,a^3),(b^2,b^3)and (c^2,c^3) is 1/2(a-b)(b-c)(c-a)(ab+bc+ca) square unit.

UNITED BOOK HOUSE-QUESTION PAPER 2019-Exercise
  1. The variables srideepa and tasmir can be fused to give rise to another...

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  2. Write Ture or False (Any five) The difference between the simple inte...

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  3. True or false: The compound ratio of ab : c^2 ,bc : a^2 and ca : b^2 i...

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  4. Only one circle can be drawn through three non-colinear points.

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  5. True or false: sin30^@ + sin60^@ >sin 90^@.

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  6. Find The ratio of the volume of aright circular cone and a right circu...

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  7. True or false: Value of median of data 2, 3, 9, 10, 9, 3, 9 is 10.

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  8. Answer the following questions : Find the capital which given Re. 1 ...

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  9. In a partnership business the ratio of capitals of three men is 3 : 5 ...

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  10. If a/2 = b/3 = c/4 = 2a-3b+4c/p, then find p.

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  11. x prop y^2 and y = 2a when x = a, then show that y^2 = 4ax.

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  12. In a trapezium ABCD, BC AD and AD = 4 cm. the two diagonals AC and BD ...

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  13. Two chords AB and AC of a circle are mutually perpendicular to each ot...

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  14. In triangle ABC, angle ABC =90^@ and BD bot Ac, if AB = 5 cm, BC = 12 ...

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  15. Find the value/values of theta(0^@ le theta le 90^@) for which 2 sin t...

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  16. If sin 10 theta = cos 8 theta and 10 theta is a positive acute angle, ...

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  17. The length breadth and height of a cuboidal room be a unit, b unit, an...

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  18. The area of curved surface of a right circular cone is sqrt 5 times th...

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  19. The mid value of first (2n + 1 ) consecutive natural number is n + 103...

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  20. If interest is compounded half yearly what will be the compound intere...

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