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Let P Q R be a right-angled isosceles t...

Let `P Q R` be a right-angled isosceles triangle, right angled at `P(2,1)dot` If the equation of the line `Q R` is `2x+y=3` , then the equation representing the pair of lines `P Q` and `P R` is `3x^2-3y^2+8x y+20 x+10 y+25=0` `3x^2-3y^2+8x y-20 x-10 y+25=0` `3x^2-3y^2+8x y+10 x+15 y+20=0` `3x^2-3y^2-8x y-15 y-20=0`

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Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)dot If the equation of the line Q R is 2x+y=3 , then the equation representing the pair of lines P Q and P R is (a) 3x^2-3y^2+8x y+20 x+10 y+25=0 (b) 3x^2-3y^2+8x y-20 x-10 y+25=0 (c) 3x^2-3y^2+8x y+10 x+15 y+20=0 (d) 3x^2-3y^2-8x y-15 y-20=0

x^(2) -8x + 15=0, y^(2)-3y +2=0

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A straight line through P(-2,-3) cuts the pair of straight lines x^(2)+3y^(2)+4xy-8x-6y-9=0 in Q and R Find the equation of the line if PQ.PR=20

2x + 3y = 8 , x - 2y + 3 = 0

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

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The equation to the locus of a point P for which the distance from P to (0,5) is double the distance from P to y -axis is 1) 3x^(2)+y^(2)+10y-25=0 2) 3x^(2)-y^(2)+10y+25=0 3) 3x^(2)-y^(2)+10y-25=0 4) 3x^(2)+y^(2)-10y-25=0

The equaiton of the lines representing the sides of a triangle are 3x - 4y =0 , x+y=0 and 2x - 3y = 7 . The line 3x + 2y = 0 always passes through the

RESONANCE DPP-JEE MAINS-All Questions
  1. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

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  2. Let m ,n are integers with 0<n<mdot A is the point (m ,n) on the Carte...

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  3. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1...

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  4. Equation of straight liens joining the origin and points of interse...

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  5. A B C is a triangle. The coordinates of whose vertices (-2,4),(10 ,-2)...

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  6. If the lines joining the points of intersection of the curve 4x^2+9y+1...

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  7. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x) as b...

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  8. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

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  9. If matrix A=[a(ij)](3xx), matrix B=[b(ij)](3xx3), where a(ij)+a(ji)=0 ...

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  10. If m is a positive integer and Dr=|[2r-1,m(Cr),1],[m^2-1, 2^m, x+1],[...

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  11. If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then...

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  12. The equatioin of the image of the circle x^2+y^2+016 x-24 y+183=0 in ...

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  13. If A=([a(i j)])(3xx3), such that a(i j)={2,i=j and 0,i!=j ,t h e n1+(...

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  14. If (x1, y1)&(x2,y2) are the ends of a diameter of a circle such that x...

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  15. The lines L1: x-2y+6=0&L2: x-2y-9=0 are tangents to the same circle. I...

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  16. Find the equations of bi sectors of the angle between the lines 4x + 3...

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  17. The equation of the tangent of the circle x^2+y^2+4x-4y+4=0 which mak...

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  18. A straight line through the origin O meets the parallel lines 4x+2y=9...

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  19. If 3A=[-1-2-2 2 1-2x-2y] such that AA^T=I , then which of the followin...

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  20. Orthocentre of an acute triangle A B C is at the orogin and its circum...

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