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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 .

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-HOOGHLY COLLIGIATE SCHOOL-EXERCISE
  1. The measures of central tendency are Mean, Median and

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  2. The simple interest on a sum of money for 2 years at 4% per annum is R...

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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. Write True or False The angle in the segment of a circle which is g...

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  5. Write True or False Maximum value of sin theta+ cos theta is sqrt2.

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  6. Write True or False If the length of radius of a right circular cyl...

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  7. Write True or False Mode of the data 2,3,9,10,9,3,9 is 10.

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  8. What is the rate of simple interest per annum, when the interest of so...

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  9. In a joint business Kalu invests ₹ 60,000 for 9 months and Viki invest...

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  10. If x+1/x= sqrt3 , find the value of x^30+x^24+x^18+x^12+x^6+1.

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  11. If the sum of the square of the roots of the equation 6x^2+x+k=0 is 25...

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  12. ABCD is cyclic quadrilateral. Extended BA upto F. AE||CD and if angleA...

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  13. The radius of a circle with centre O is 5cm. P is a point at a distanc...

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  14. In a right angled triangle angleABC = 90 and BD bot AC. If BD = 88 cm ...

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  15. In sin theta+cos thea= sqrt2, find the value of theta.

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  16. Height of a flying kite from the ground is 300 metre and if the angle ...

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  17. Total surface area of a solid hemisphere and the curved surface area o...

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  18. Find the volume of the largest solid cone that can be cutout frm a sol...

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  19. If ui = (xi-25)/10 sumfiui = 20 and sumfi = 100, find barx.

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  20. Aminur has taken a loan of ₨. 64,000 from a bank. If the rate of inter...

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