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Let a, b, c be any real numbers. Supp...

Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that `x""=""c y""+""b z ,""y""=""a z""+""c x""a n d""z""=""b x""+""a y` . Then `a^2+""b^2+""c^2+""2a b c` is equal to (1) 2 (2) `""1` (3) 0 (4) 1

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RESONANCE DPP-JEE MAINS-All Questions
  1. If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n d...

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  2. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

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  3. Let a, b, c be any real numbers. Suppose that there are real number...

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  4. underset(x to oo)lim(overset(2x)underset(0)intte^(t^(2))dt)/(e^(4x^(2)...

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  5. ("lim")(x→oo)((a x+3)/(b x+2))^(b x) is equal to (a and b are positive...

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  6. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

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  7. The equation 2log(x+3)="log"(alphax) has only one solution if alpha=12...

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  8. If x^2+2a x+a<0AAx in [1,2], the find the values of adot

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  9. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

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  10. A box contains 1 black and 1 white ball. A ball is drawn randomly and ...

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  11. On a normal standard die one of the 21 dots from any one of the six...

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  12. Number of all four digit numbers having different digits formed of the...

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  13. In how many ways 3 boys and 15 girls can sits together in a row such ...

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  14. The letters of word ZENITH are written in all possible ways. If all ...

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  15. If the number of ways in which the letters of the word ABBCABBC can...

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  16. Find the number of positive integers not exceeding 100 which are div...

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  17. Find the number of polynomials of the form x^3+a x^2+b x+c that are di...

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  18. If f:[a,oo)->[a,oo) be a function defined by f(x)=x^2-2a x+a(a+1). If...

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  19. Prove that the line joining the orthocentre to the centroid of a tr...

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  20. Normals A O ,AA1a n dAA2 are drawn to the parabola y^2=8x from the poi...

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