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The line 2x+3y=12 meets the x-axis at A ...

The line `2x+3y=12` meets the x-axis at A and y-axis at B. The line through (5,5) perpendicular to AB meets the x-axis and the line AB at C and E respectively. If O is the origin of coordinates, find the area of figure OCEB.

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let P a point on the line y=3x and Q lies on 2y+x=2 and the mid-...

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  2. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

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  3. The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line thro...

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  4. Let L1:3x+4y=1a n dL2=5x-12 y+2=0 be two given lines. Let image of e...

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  5. Area of the triangle formed by the line x+y=3 and angle bisectors o...

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  6. Locus of centroid of the triangle whose vertices are (acost ,asint),(b...

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  7. If A|(1, 4, 7),( 2, 6, 5),( 3,-1, 2)|a n dB=d i ag(1,2,5) , then trace...

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  8. The value of k so that the equation 12 x^2-10 x y+2y^2+11 x-5y+k=0 rep...

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  9. The interior angle bisector of angle P for the trangle P Q R whose coo...

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  10. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

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  11. Let m ,n are integers with 0ltnltm. A is the point (m ,n) on the Carte...

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

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

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

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

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  16. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x)dot A...

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  17. If in triangle ABC,A-=(1,10), circumcenter -=(-1//3,2//3), and orthoce...

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

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  19. If m is a positive integer and Dr=|2r-1\ ^m Cr1m^2-1 2^m m+1s in^2(...

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  20. 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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