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A A B C is formed by the lines 2x-3y-6=...

A ` A B C` is formed by the lines `2x-3y-6=0;3x-y+3=0a n d3x+4y-12=0.` If the points `P(alpha,0)a n dQ(0,beta)` always lie on or inside the ` A B C ,` then: `alpha in [-1,2]&beta in [-2,3]` b.`alpha in [-1,3]&beta in [-2,4]` c. `alpha in [-2,4]&beta in [-3,4]` d. `alpha in [-1,3]&beta in [-2,3]`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A = [{:(1,2,-1),(-1,1,2),(2,-1,1):}], then det (adj (adjA)) is

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  2. The area enclosed by |x|+y=1 & the axis of x is: 1 b. 1/2 c2 d. none ...

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  3. A A B C is formed by the lines 2x-3y-6=0;3x-y+3=0a n d3x+4y-12=0. If ...

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  4. Of f(x)=p x^2+q x+r is a quadratic expression such that [a^2a1b^2b1c^2...

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  5. Let the algebraic sum of the perpendicular distance from the points (2...

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  6. If the equation of the locus of a point equidistant from the points (a...

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  9. Let the coordinates of two points P and Q be (1, 2) and (7, 5) respect...

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  10. The largest value of x for which the fourth tem in the expansion (5^2/...

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  11. Find n in the binomial (2^(1/3)+1/(3^(1/3)))^n , if the ration 7th ter...

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  12. Sum the series from n=1ton=oo, whose nth term is 1/((n+1)!)

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  13. Given the family of lines a (3x +4y+6)+b(x + y + 2) = 0 The line of th...

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  14. The coefficient of x^6 in series e^(2x) is 4/(25) b. 3/(45) c. 2/(45) ...

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  15. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

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  16. Find the sum of the coefficients of all the integral powers of x in th...

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  17. Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3...

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  18. The centre of a circle passing through (0,0), (1,0) and touching the C...

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  19. If an=sum(r=0)^n1/(^n Cr) , then sum(r=0)^n r/(^n Cr) equals (n-1)an b...

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  20. Prove that :(log)e((x+1)/x)=2[1/((2x+1))+1/(3(2x+1)^3)+1/(5(2x+1)^5)+]

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