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If 2a = 3b = 4c then prove that a : b : c = 6:4:3.

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If 2a = 3b = 4c , then a : b : c will be

If b/(a + b) = (3a - c - b)/(2b + c -a) = (-a+3c)/(2a - b + 3c) ( "where " a + b + c ne 0) , then prove that a = b = c .

If b/(a+b) = (a+c-b)/(b+c-a) = (a+b+c)/(2a+b+2c)("where " a + b + c ne 0) , then prove that a/2 = b/3 = c/4 .

If a, b, c are in GP then prove that a^3, b^3, c^3 are in GP.

If 4^a=36^b =9^c , then prove that (b)/(a)+(b)/( c)=1 .

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If 2^a=3^b=6^(-c) , then prove that (1)/(a)+(1)/(b)+(1)/(c )=0 .

If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c y+c=0 is consistent, then prove that a ,b , c are in H.P.

If (sin A)/3 = (sin B)/3 = (sin C)/4 , then prove that, cos C=1/9 .

If a, b, c are in GP then prove that, (a+2b+2c)(a-2b+2c)= a^2+ 4c^2

UNITED BOOK HOUSE-QUESTION PAPER 2020-Exercise
  1. Ages of some students are (in years) 10, 11, 9, 7, 13, 8, 14 the media...

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  2. Write True or False : The amount of ₹ 2p in t years at the rate of si...

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  3. If 2a = 3b = 4c then prove that a : b : c = 6:4:3.

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  4. True or false: If the ratio of the lengths of three sides of a triangl...

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  5. True or false: The angle formed by rotating a ray about its end point ...

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  6. If n is even number, then median is the mean of (n/2) th and (n/2 - 1)...

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  7. If the length of the radius of the base of a right circular cone be ha...

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  8. Answer any ten questions : If the ratio of a principal and the amount...

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  9. In a business A and B get ₹ 1,050 as profit. If the principal and prof...

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  10. If x prop y, y prop z and z prop x, find the product of three variatio...

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  11. If the roots of the quadratic equation 5x^2 - 2x - 3 = 0 be alpha and ...

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  12. The point O is situated within the rectangular region ABCD in such a w...

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  13. In a right angled triangle ABC, angleABC = 90^@, AB = 3 cm, BC = 4 cm ...

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  14. The lengths of radii of two circles are 8 cm and 3 cm and the distance...

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  15. What is the circular measure of an angle formed by the rotation of hou...

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  16. If tan40×tan6θ=1 and 6θ is a positive acute angle. find the value of θ...

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  17. The height of a right circular cone is 12 cm and its volume is 100Pi c...

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  18. Curved surface areas of two spheres are in a ratio 1 : 4. Find the rat...

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  19. If ui = (xi - 35)/(10), sumfiui =30 and sumfi = 60, then determine the...

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  20. Question: The price of a machine in a factory of your uncle depreciate...

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