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True or false: The compound ratio of ab ...

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 .

Calculate the compound ratio of a:bc.b:ca and c:ab.

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

Find the product (2a + b+c) (4a ^(2) + b ^(2) + c ^(2) - 2ab -bc -2ca)

If a + b +c =9 and ab + bc + ca =26, then find a ^(2) + b ^(2) + c ^(2).

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-GARDEN REACH BIHARI DAS GIRL'S -EXERCISE
  1. Fill in the blanks Median of the data 2,3,4,5,6is.

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  2. Write True or False: The compound interest will be always less than ...

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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. Write True or False: Value of sin^25theta+cos^25theta = 5

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  6. Write True or False: By melting a solid right circular cylinder a cu...

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  7. Write True or False Mode of 3,4,5,2,3,4,1,6,4,2 is 4.

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  8. The rate of simple interest per annum reduces from 4% to 3 3/4% and fo...

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  9. In a business capital of A is 1 1/2 times of the capital of B. If the...

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  10. If (2x)/3=(4y)/5=(7z)/9 then find the value of (4x+12y-21z)/(3y).

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  11. If x alpha yz and y alpha zx, then show that (z!=0) is a constant.

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  12. AB is the diameter of a semicircle with length of radius 4 cm C is an...

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  13. The ratio of the consequtive three angles of a cyclic quadrilateral is...

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  14. In triangleABC, if AB = (2a - 1) cm, AC = 2sqrt2a cm and Bc = (2a + 1)...

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  15. If tan theta = 4/3, find the value of (sin theta + cos theta).

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  16. If x = a sec theta and y = b tan theta, then find the relation between...

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  17. The numerical values of total surface area and volume of a hemisphere ...

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  18. The curved surface area of a right circular cone is sqrt(10) times of ...

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  19. In a frequency distribution, mean is 8.1, sum fixi = 132+5k and sumfi ...

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

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