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The product of all values of t , for whi...

The product of all values of `t ,` for which the system of equations `(a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0` has non-trivial solution, is `|a-c-b-c b-a-b-a c|` (b) `|a b c b c a c a b|` `|a c bb a cc b a|` (d) `|a a+bb+c bb+cc+a cc+a a+b|`

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RESONANCE DPP-JEE MAINS-All Questions
  1. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

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  2. Let g(x) be the inverse of an invertible function f(x), which is dif...

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  3. The product of all values of t , for which the system of equations (a-...

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  4. The Fibonacci sequence is defined by 1=a1=a2 and an=a(n-1)+a(n-2,)n > ...

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  5. Let A and B are square matrices of same order satisfying A B=A ,a n dB...

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  6. If the graph of the function y = f(x) is as shown : The graph of ...

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  7. If p ,q ,r are in A.P. then value of determinant |a^2+2^(n+1)+2p b^2+2...

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  8. Let A=[-3-7-5 2 4 3 1 2 2]&B=[a b1] If AB is a scalar multipl...

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  9. If f(x)=x+t a n xa n df(x) is inverse of g(x), then g^(prime)(x) is eq...

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  10. If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then p...

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  11. sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2

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  12. If x1,x2, x3 and y1, y 2, y3 are both in G.P. with the same common rat...

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  13. Find the sum of the series (2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)...

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  14. Find the sum of infinite terms of the series : 3/(2*4)+5/(2*4*6)+7/(2*...

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  15. The solution set satisfying the inequality,sqrt(21-4a-a^2)/(a+1)<=1

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  16. A quadratic equation f(x)=a x^2+b x+c=0(a != 0) has positive distinct ...

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  17. Draw the graph of the function: f(x)=||x-2|-3|

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  18. A golf ball is dropped from a height of 80 m. Each time the ball hi...

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  19. lf abcd=1 where a,b,c,d are positive reals then the minimum value of ...

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  20. A circle is drawn to pass through the extremities of the latus rectum ...

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