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March 13, 2026 Study Clue

Chapter 8: Three Dimensional Geometry (Set-5)

A plane passes through A(1,0,2), B(2,1,0), C(0,2,1). Which equation represents that plane A x+y+z=2 B x+y+z=3 C x−y+z=3 D 2x+y+z=3

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March 13, 2026 Study Clue

Chapter 8: Three Dimensional Geometry (Set-4)

A point has coordinates (−3,4,5). What is its perpendicular distance from the yz-plane A 4 B 5 C 3 D

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March 13, 2026 Study Clue

Chapter 8: Three Dimensional Geometry (Set-3)

Which ordered triple represents the point that is 4 units on x-axis only A (0,4,0) B (0,0,4) C (4,0,0) D

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March 13, 2026 Study Clue

Chapter 8: Three Dimensional Geometry (Set-2)

In 3D space, a point is written using how many coordinates A One coordinate B Two coordinates C Four coordinates

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March 13, 2026 Study Clue

Chapter 8: Three Dimensional Geometry (Set-1)

In 3D Cartesian system, how many coordinate axes are there A One axis only B Two axes only C Three

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March 13, 2026 Study Clue

Chapter 7: Conic Sections and Their Geometry (Set-5)

The circle x2+y2−6x−8y+9=0x2+y2−6x−8y+9=0 has director circle equation A x2+y2−6x−8y+0=0x2+y2−6x−8y+0=0 B x2+y2+6x+8y+25=0x2+y2+6x+8y+25=0 C x2+y2−6x−8y+25=0x2+y2−6x−8y+25=0 D x2+y2−6x−8y−25=0x2+y2−6x−8y−25=0 Explanation For circle x2+y2+2gx+2fy+c=0x2+y2+2gx+2fy+c=0, director

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March 13, 2026 Study Clue

Chapter 7: Conic Sections and Their Geometry (Set-4)

Circle with center (2,−1)(2,−1) passing through (5,3)(5,3) has equation A (x−2)2+(y+1)2=16(x−2)2+(y+1)2=16 B (x+2)2+(y−1)2=16(x+2)2+(y−1)2=16 C (x+2)2+(y−1)2=25(x+2)2+(y−1)2=25 D (x−2)2+(y+1)2=25(x−2)2+(y+1)2=25 Explanation With center

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March 13, 2026 Study Clue

Chapter 7: Conic Sections and Their Geometry (Set-3)

Circle through points A(0,0)A(0,0), B(2,0)B(2,0), C(0,2)C(0,2) has equation A x2+y2−2x−2y=0x2+y2−2x−2y=0 B x2+y2+2x+2y=0x2+y2+2x+2y=0 C x2+y2−4x−4y=0x2+y2−4x−4y=0 D x2+y2−2=0x2+y2−2=0 Explanation A circle through

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March 13, 2026 Study Clue

Chapter 7: Conic Sections and Their Geometry (Set-2)

A circle with diameter endpoints A(x1,y1)A(x1,y1), B(x2,y2)B(x2,y2) satisfies A PA⋅PB=0PA⋅PB=0 B PA→⊥PB→PA⊥PB C PA=PBPA=PB D PA+PB=ABPA+PB=AB Explanation A point P(x,y)P(x,y)

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March 13, 2026 Study Clue

Chapter 7: Conic Sections and Their Geometry (Set-1)

For (x−h)2+(y−k)2=r2(x−h)2+(y−k)2=r2, what does (h,k)(h,k) represent A Focus of circle B Midpoint of chord C Center of circle D Point

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