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The area of the closed figure bounded by `x=-1,x=2,a n d` `y={-x^2+2,xlt=1 2x-1,x >1a n dt h ea b s c i s s aa xi si s` `(16)/3s qdotu n i t s` (b) `(10)/3s qdotu n i t s` `(13)/3s qdotu n i t s` (d) `7/3s qdotu n i t s`

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The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s qdotu n i t s (b) (a^2)/4s qdotu n i t s (3a^2)/4s qdotu n i t s (d) (a^2)/(12)s qdotu n i t s

The value of the parameter a such that the area bounded by y=a^2x^2+a x+1, coordinate axes, and the line x=1 attains its least value is equal to 1/4s qdotu n i t s (b) 1/2s qdotu n i t s 3/4s qdotu n i t s (d) -1s qdotu n i t s

Let f(x)=m in i mu m(x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y=f(x) and the x-axis is 7/3s qdotu n i t s 1/6s qdotu n i t s (11)/6s qdotu n i t s (d) 7/6s qdotu n i t s

What is the area of the shaded region? (FIGURE) 32-4 pi s qdotu n i t s (b) 32-8 pi s qdotu n i t s (c) 16-4 pi s qdotu n i t s (d) 16-8 pi s qdotu n i t s

Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=-2a n dx=6 is 1/4s qdotu n i t s (b) 4/3s qdotu n i t s 5/4s qdotu n i t s (d) 7/3s qdotu n i t s

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x a n dygeq1nx is 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area of the region whose boundaries are defined by the curves y=2cosx , y=3tanx ,a n dt h ey-a xi si s 1+31n(2/(sqrt(3)))s qdotu n i t s 1+3/2 1n3-31n2s qdotu n i t s 1+3/2 1n3-1n2s qdotu n i t s 1n3-1n2s qdotu n i t s

RESONANCE DPP-JEE MAINS-All Questions
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  3. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

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  4. "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx

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  6. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1...

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  7. The reflection of the point vec a in the plane vec rdot vec n=q ...

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  8. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/sqrt(1+t^2) ...

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  9. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  10. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

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  11. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  12. If int((x-1)dx)/(x^2sqrt(2x^2-2x+1))=(sqrt(f(x)))/(g(x))+C ,t h e n f...

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  13. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

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  14. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

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  15. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

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  16. If z1& z1 represent adjacent vertices of a regular polygon on n sides...

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  17. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

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  18. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

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  19. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

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  20. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

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