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If vec a= hat i+ hat j+ hat k , vec b=4...

If ` vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k` and ` vec c= hat i+alpha hat j+beta hat k` are linearly dependent vectors & `| vec c|` = `sqrt(3)` , then ordered pair `(alpha,beta)` is (a)`(1,1)` (b) `(1,-1)` (c) `(-1,1)` (d) `(-1,-1)`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i+...

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  2. vecalpha and vecbeta are two unit vectos and vecr is a vector such tha...

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  3. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  4. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  5. "Let " f(x) ={underset("log(1//2) (X +(1)/(2)), 0 lt X lt (3)/(2))unde...

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  6. Find the distance of the point (2, 3, -5) from the plane x+2y-z-9=0.

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  7. If differentiable function f(x) in inverse of g(x) then f^(g(x)) is eq...

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  8. f(x) is a continuous function for all real values of x and satisfies i...

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  9. If 3xx3 order matrix A is such that det(A)= 2 then |A(a d jA)| is (a...

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  10. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expans...

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  11. If sets A and B are defined as A = {(x, y) : y = e^(x), x in R} and ...

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  12. Find the area bounded by (a) y = (log)e|x|a n dy=0 (b) y=|(log)e|x|...

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  13. If int(0)^(x)f(t)dt=x^2+int+(x)^(1)t^2f(t)dt, then f((1)/(2)) is equal...

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  14. Let f(x)= minimum (x+1,sqrt(1-x)) for all xle1. Then the area bounded ...

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  15. about to only mathematics

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  16. if P(A)=0.4,P(B^('))=0.6 and P(AcapB)=0.15 then the value of P(A|A^(')...

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  17. If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...

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  18. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

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  19. Let f(x) =int(-2)^xe^((1+t)^2)dt and g(x) = f(h(x)),where h(x) is defi...

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  20. If a quadrilateral formed by four tangent to the ellipse 3x^2+4y^2=1...

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