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If the pair of lines ax^2 +2hxy+ by^2+ 2...

If the pair of lines `ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0` intersect on the y-axis then

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If the straight lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the X -axis,then

The principal axes of the hyperbola ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 are parallel to the lines

the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y -axis then b^(2)g^(2)=ch^(2)(b)abc=2fgh2fgh=bg^(2)+ch^(2)f^(2)=bc

If the centre of the hyperbola whose equation is ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 " be " (alpha, beta) , then find the equation of the asymptotes.

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two straights lines, then the product of the perpendicular from the origin on these straight lines, is

If the lines represented by ax^(2)+4xy+y^(2)+8x+2fy+c=0 interseet on Y -axis,then (f,c)=

If the equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle with X-axis as a diameter , and radius a, then :

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

RESONANCE DPP-JEE MAINS-All Questions
  1. N fair coins are flipped once. The probability that at most 2 of the c...

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  2. Which is greater ? 12 or 3 3

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  3. If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the ...

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  4. Which of the following statements are true and which false ? {:((i),...

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  5. If Sn = 1+1/2 + 1/2^2+...+1/2^(n-1) and 2-Sn < 1/100, then the least v...

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  6. If the circumcenter of an acute-angled triangle lies at the origin ...

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  7. Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} ver...

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  8. Let S= set of point inside the sqare, T= set of points inside the tria...

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  9. Which of the following statements are true and which false ? {:((i),...

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  10. Solve for x :(log)2(4(4^x+1))dotlog2(4^x+1)=(log)(1/(sqrt(2)))1/(sqrt(...

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  11. A rack has 5 different pairs of shoes. The number of ways in which 4 s...

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  12. If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 ...

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  13. Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} ver...

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  14. The least integer k which makes the roots of the equation x^2+5x+k=0 i...

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  15. Write of the following statements as true or false? The set of all equ...

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  16. The sum of infinite number of terms of a G.P. is 4 and the sum of thei...

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  17. Equation of chord AB of the circle x^2+y^2=2 passing through P(2,2) su...

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  18. If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

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

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  20. Find the sum 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+......

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