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jee_main_2024_01_february_morning - Conic Sections Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #13 Properties of Ellipse and Hyperbola
For 0, if the eccentricity of the hyperbola x^2-y^2csc^2theta=5 is sqrt7 times the eccentricity of the ellipse x^2csc^2theta+y^2=5, then the value of theta is:
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QUESTION #16 Properties of Ellipse and Hyperbola
Let fracx^2a^2+fracy^2b^2=1, a>b be an ellipse, whose eccentricity is frac1sqrt2 and the length of the latus rectum is sqrt14. Then the square of the eccentricity of fracx^2a^2-fracy^2b^2=1 is:
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QUESTION #18 Intersection of Circles
Let C:x^2+y^2=4 and C^prime:x^2+y^2-4lambda x+9=0 be two circles. If the set of all values of lambda so that the circles C and C' intersect at two distinct points, is R - [a, b], then the point (8a+12,16b-20) lies on the curve:
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QUESTION #26 Tangents and Condition of Tangency
Let the line L -:sqrt2x+y=alpha pass through the point of the intersection P (in the first quadrant) of the circle x^2+y^2=3 and the parabola x^2=2y. Let the line L touch two circles C_1 and C_2 of equal radius 2sqrt3. If the centres Q₁ and Q_2 of the circles C_1 and C_2 lie on the y-axis, then the square of the area of the triangle PQ_1Q_2 is equal to
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