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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
- Find the incentre of the triangle with vertices A(1,sqrt3), B(0,0) and...
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- The equation of the tangent to the circle x^2 + y^2+4x- 4y + 4 =0, whi...
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- Find the area bounded by the ellipse x^(2)/16+y^(2)/9=1
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- The equation of the chord joining two points (x1, y1) and (x2, y2) on ...
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- A square of side a lies above the X- axis and has one vertex at the or...
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- Find the slope of the tangent to the curve y=3x^4−4 at x = 4
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- The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...
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- If the two circles (x-1)^2+(y-3)^2= r^2 and x^2+y^2-8x+2y+8=0 interse...
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- The normal at the point (bt1^2, 2bt1) on a parabola meets the parabola...
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- If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...
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- The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) i...
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- A square is formed by following two pairs of straight lines : y^2 -14...
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- The focal chord of y^2= 16x is tangent to (x-6)^2+ y^2= 2, then the po...
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- The area (in sq units) of the quadrilateral formed by the tangents at ...
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- Which one of the following is independent of alpha in the hyperbola (0...
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- Angle between tangents drawn from the point (1, 4) to the parabola y^2...
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- The eccentricity of an ellipse, with its centre the origin, is 1/2. If...
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- If the line 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then t...
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- The line parallel to the x-axis and passing through the intersection o...
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- If non-zero numbers a,b,c are in H.P., then the straight line x/a+ y/b...
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