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If a, b, c are in A.P. and if (b-c)x^(2)...

If a, b, c are in A.P. and if `(b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(b+c)x=0` have a common root, then

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If a x 62+b x+c=0 has imaginary roots and a-b+c >0 then the set of poi...

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  2. From a point "P" on the line 2x+ y +4 which is nearest to the circle x...

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  3. If a, b, c are in A.P. and if (b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(...

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  4. ABC is a right triangle, right - angled at the vertex A. A circle is d...

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  5. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

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  6. The base of triangle passes through a fixed point (f,g) and its other ...

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  7. Sn=3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+ upto n terms, then a. Sn=(6n)/...

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  8. Let A (-2, 0) and B(2, 0), then the number of integral values of a, a ...

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  9. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+….+n(1-x)(1-2x)(1-3x)...

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  10. Statement 1: The incenter of a triangle formed by the lines xcos(pi/...

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  11. [2x]-2[x]=lambda where [.] represents greatest integer function and {....

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  12. If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of ...

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  13. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

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  14. Solve : |(x^(2)-5x+4)/(x^(2) - 4)| le 1

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  15. A square matrix B is said to be an orthogonal matrix of order n if BB^...

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  16. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

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  17. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

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  18. The number of integral values of 'm' less than 50, so that the roots o...

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  19. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

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  20. Find the possible vaues of 'alpha' for which of expession y=(alphax^(2...

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