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  • Set · 2 questions
    For the next two (02) items that follow: The foci of the ellipse px2+16y2=16ppx^2+16y^2=16ppx2+16y2=16p and the foci of the hyperbola 25(81x2−144y2)=1166425(81x^2-144y^2)=1166425(81x2−144y2)=11664 coincide (assume p<16p<16p<16).
    • Q4051
      NDA Maths strategy

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      [Q61 · Apr · 2026]
    • Q4052
      NDA Maths strategy

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      [Q62 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: The equation of the sphere S is x2+y2+z2−4x−6y−12z+k=0x^2+y^2+z^2-4x-6y-12z+k=0x2+y2+z2−4x−6y−12z+k=0.
    • Q4053
      NDA Maths strategyConcept: Building a sphere from conditions

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      [Q63 · Apr · 2026]
    • Q4054
      NDA Maths strategyConcept: Building a sphere from conditions

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      [Q64 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let a⃗\vec{a}a, b⃗\vec{b}b, c⃗\vec{c}c, a⃗+b⃗\vec{a}+\vec{b}a+b, b⃗+c⃗\vec{b}+\vec{c}b+c, a⃗+b⃗+c⃗\vec{a}+\vec{b}+\vec{c}a+b+c be unit vectors.
    • Q4055
      NDA Maths strategyConcept: Angle between two vectors via the dot-product formula

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      [Q65 · Apr · 2026]
    • Q4056
      NDA Maths strategyConcept: Angle between two vectors via the dot-product formula

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      [Q66 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let a⃗×b⃗=c⃗\vec{a}\times\vec{b}=\vec{c}a×b=c and b⃗×c⃗=a⃗\vec{b}\times\vec{c}=\vec{a}b×c=a.
    • Q4057
      NDA Maths strategyConcept: Vector triple product (BAC-CAB rule)

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      [Q67 · Apr · 2026]
    • Q4058
      NDA Maths strategyConcept: Vector triple product (BAC-CAB rule)

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      [Q68 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let a⃗\vec{a}a, b⃗\vec{b}b, c⃗\vec{c}c be unit vectors. Further, a⃗\vec{a}a is perpendicular to b⃗\vec{b}b; c⃗\vec{c}c makes angle π3\frac{\pi}{3}3π​ with both a⃗\vec{a}a and b⃗\vec{b}b; and c⃗=pa⃗+qb⃗+r(a⃗×b⃗)\vec{c}=p\vec{a}+q\vec{b}+r(\vec{a}\times\vec{b})c=pa+qb+r(a×b).
    • Q4059
      NDA Maths strategyConcept: Unit vectors, orthogonal triples, and decomposition

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      [Q69 · Apr · 2026]
    • Q4060
      NDA Maths strategyConcept: Unit vectors, orthogonal triples, and decomposition

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      [Q70 · Apr · 2026]
  • Q4061
    Lever: Differentiability at a point

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    [Q71 · Apr · 2026]
  • Q4062
    NDA Maths strategy

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    [Q72 · Apr · 2026]
  • Q4063
    NDA Maths strategy

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    [Q73 · Apr · 2026]
  • Q4064
    Lever: Modulus / absolute value behaviour

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    [Q74 · Apr · 2026]
  • Q4065
    NDA Maths strategy

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    [Q75 · Apr · 2026]
  • Q4066
    NDA Maths strategy

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    [Q76 · Apr · 2026]
  • Q4067
    NDA Maths strategy

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    [Q77 · Apr · 2026]
  • Q4068
    Lever: AM-GM / mean inequalities (incl. x + 1/x ≥ 2)

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    [Q78 · Apr · 2026]
  • Q4069
    NDA Maths strategy

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    [Q79 · Apr · 2026]
  • Q4070
    NDA Maths strategy

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    [Q80 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let (ey)x−y=0(e^y)^x-y=0(ey)x−y=0, where y is a function of x whose domain is (0,10].
    • Q4071
      NDA Maths strategy

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      [Q81 · Apr · 2026]
    • Q4072
      NDA Maths strategy

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      [Q82 · Apr · 2026]
  • Set · 2 questions
    For the next two (02) items that follow: Let ∫0π/2asin⁡x+bcos⁡x(a+b)(sin⁡x+cos⁡x)dx=k\int_0^{\pi/2}\dfrac{a\sin x+b\cos x}{(a+b)(\sin x+\cos x)}dx=k∫0π/2​(a+b)(sinx+cosx)asinx+bcosx​dx=k.
    • Q4073
      NDA Maths strategy

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      [Q83 · Apr · 2026]
    • Q4074
      NDA Maths strategy

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      [Q84 · Apr · 2026]
  • Set · 1 question
    For the next two (02) items that follow: Let S and T be the sets where f(x)=x33−5x22+6x+7f(x)=\frac{x^3}{3}-\frac{5x^2}{2}+6x+7f(x)=3x3​−25x2​+6x+7 decreases and increases respectively.
    • Q4075
      NDA Maths strategy

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      [Q85 · Apr · 2026]
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