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If the roots of the equation 10x^(3)-cx^...

If the roots of the equation `10x^(3)-cx^(2)=54x-27=0` are in harmonic progression the value of c is

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NTA MOCK TESTS-NTA JEE MOCK TEST 28-MATHEMATICS
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  2. If {:(lim),(xrarr0):}(1+px+qx^2)^("cosec"x)=e^5 ,then

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  3. If inte^(sintheta)(sintheta+sec^2theta)"d"theta is equal to f(theta)+...

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  4. A curve passing through the point (1,2) and satisfying the condition t...

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  5. The coefficient of x^8 in the expasnsion of (1+(x^2)/(2!)+(x^4)/(4!)+(...

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  6. Let P and Q be two points on the curves x^2+y^2=2 and (x^2)/8+y^2/4 =1...

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  7. Let orthocentre of DeltaABC is (4,6) . If A=(4,7) and B=(-2,4) , then ...

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  8. The area bounded by the curve y=|cos^-1(sinx)|+|pi/2-cos^-1(cosx)| and...

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  9. Let o+and ox are two mathematical operators . If po+(q oxr) is equiva...

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  10. The point of intersection of the plane 3x-5y+2z=6 with the straight li...

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  11. If Dr=|{:(r,15,8),(r^2,35,9),(r^3,25,10):}|, then the value of root(5)...

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  12. Let I1=int0^1e^(x^2)dx and I2=int0^(12)2^(x^2)e^(x^2)dx then the valu...

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  13. A pair of tangents are drawn from a point P to the circle x^2+y^2=1. I...

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  14. Tangents to the parabola y^2=4ax at P(at1^2,2at1)and Q(at2^2,2at2) mee...

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  15. The value of int(-1)^1cot^-1((x+x^3+x^5)/(x^4+x^2+1)) dx is equal to

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  16. Let vec(U)=hati,hatj,vecV=hati-hatjand vec(W)=3hati+5hatj+3hatk. If h...

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  17. Consider the function f(x)=max{|sinx|,|cosx|},AA"x"in[0,3pi]. if lamda...

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  18. If the roots of the equation 10x^(3)-cx^(2)=54x-27=0 are in harmonic p...

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  19. If the normal to the ellipse x^2/25+y^2/1=1 is at a distance p from th...

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  20. If A=[{:(2,3),(-1,-2):}] and B=sum(r=1)^(10)A^r , then the value of de...

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