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Let three matrices A=[2 1 4 1]; B=[3 4 2...

Let three matrices `A=[2 1 4 1]; B=[3 4 2 3]a n dC=[3-4-2 3],` then 6 (b) 9 (c) 12 (d) None of these

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Consider three matrices A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4),(-2,3)]. Then ghe value of the sum tr(A)+tr((ABC))/2 +tr((ABC)^2)/4+tr((ABC)^3)/2+.......+oo is (A) 6 (B) 9 (C) 12 (D) none of these

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Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

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Ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (-2, 1) is (a) 3 : 5 (b) 4 : 6 (c) 4 : 9 (d)None of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. The internal common tangents to two circles with centre C1 and C2 in...

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  2. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

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  3. Let three matrices A=[2 1 4 1]; B=[3 4 2 3]a n dC=[3-4-2 3], then 6 (...

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  4. If =cos^2[tan^(-1)(sincot^(-1)x)], then (dy)/(dx) is (-2x)/((x^2+2)^2)...

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  5. Let log3^N = alpha1 + beta1 , log5^N = alpha2 + beta2 , log7^N = alph...

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  6. A circle is inscribed in an equilateral triangle of side adot The area...

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  7. If A-2B=[(1,5),(3,7)] and 2A-3B=[(-2,5),(0,7)] the matrix B= (A) [...

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  8. Find the value of n so that the subnormal at any point on the curve xy...

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

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  10. If y = tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))] then prov...

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  11. The radius of the circle whose equation in parametric form is P(theta)...

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  12. If ("lim")(xvec0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n((...

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  13. Let log3^N = alpha1 + beta1 , log5^N = alpha2 + beta2 , log7^N = alph...

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  14. Consider curve y=f(x), then if PT = Length of tangent PN= Length of n...

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  15. If a chord of the circle x^2+y^2-4x-2y-c=0 is trisected at the points ...

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  16. If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of p...

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  17. if the set of values of ' x ' satisfying the inequations ((x-1)^2(x+1)...

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  18. Evaluate: ("lim")(nvecoo)((a1 1/x+a2 1/x++a n1/x)/n)^(n x)

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  19. Let a ray of light leaves the point (3, 4) reflects from the y-axis an...

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  20. The equation of the bisector of that angle between the lines x+2y-11=0...

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