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From the point (15,12), three normals ar...

From the point (15,12), three normals are drawn to the three co-normals point is

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From the point (15,12), three normals are drawn to the parabola y^(2)=4x. Then centroid and triangle formed by three co-normals points is (A)((16)/(3),0) (B) (4,0) (C) ((26)/(3),0) (D) (6,0)

From the point P(h, k) three normals are drawn to the parabola x^(2) = 8y and m_(1), m_(2) and m_(3) are the slopes of three normals Find the algebraic sum of the slopes of these three normals.

From the point P(h, k) three normals are drawn to the parabola x^(2) = 8y and m_(1), m_(2) and m_(3) are the slopes of three normals If two of the three normals are at right angles then the locus of point P is a conic, find the latus rectum of conic.

Co Normal Points

From a point (h,k) three normals are drawn to the parabola y^2=4ax . Tangents are drawn to the parabola at the of the normals to form a triangle. The centroid G of triangle is

Circle through Co normal points

RESONANCE DPP-JEE MAINS-All Questions
  1. Show that ("lim")(nvecoo)(1/(n+1)+1/(n+2)++1/(6n))=log6

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  2. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

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  3. From the point (15,12), three normals are drawn to the three co-normal...

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  4. The maximum area of the triangle formed by the complex coordinates z,...

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  5. Let (6sqrt(6)+14)^(2n+1)=R, if R be the fractional part of R, then pro...

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  6. The range of the function f(x) = sqrt(4 - x^2) + sqrt(x^2 - 1) is

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  7. Prove that: cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca...

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  8. The number of different quadrilaterals that can be formed by using the...

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  9. Let f(x)=(x^2-11x+18)/(x^2-7x+12) Match List-I with List-II and sele...

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  10. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

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  11. If f(x) = {(px + q, :x le 2),(x^2 - 5x + 6, : 2 < x < 3),(ax^2 + bx + ...

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  12. If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [...

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  13. Find the standard deviation for the following data: (i) x : , 3, 8, 13...

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  14. f(x)=[2x]sin3pixa n df^(prime)(k^(prime))=lambdakpi(-1)^k (where [.] d...

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  15. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pai...

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  16. If A is a square matrix of order 3 such that |A|=2 , then write the va...

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  17. The graph of y = f(x} is shown, then the number of solutions of f(f(x}...

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  18. The equation (x - 1)(x - 2)(x - 3) = 24 has the real root equal to 'a'...

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  19. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

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  20. Let f be a real valued function such that f(x)+3xf(1/x)=2(x+1) for all...

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