29-Analytical Geometry

Analytical Geometry

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Find the distance between A and C.
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Three regular polygons have one vertex in common and just fill the whole space at that vertex. If the number of sides of the polygons are a, b, c
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Prove that the equation \(ax^2 + by^2 + cz^2 + 2ux + 2vy + 2wz + d = 0\) represent a cone if \(u²/a+v²/b+w²/c=d\).
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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 3cm and the base is 4cm. Determine the value
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A matchbox measures 4cm multiple 2.5 cm multiple 1.5 cm multiple. What will be the volume of the packet containing 12 such boxes?
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637
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Why we write the area of triangle as $\frac{1}{2} \times B \times H$ other than $\frac{1}{2} + B \times H$
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In the square ABCD, E is the mid-point of AD, BD and CE intersect at F. Prove that AF ⊥ BE.
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Verify the following: (i) $(0,7,-10)(1,6,-6)$ and $(4,9,-6)$ are vertices of an isosceles triangle
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Let $B$ and $C$ be two fixed points of a given circle and $A$ a variable point lying on major arc of this circle as shown in figure.
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Two chords are drawn from the point $P(h, k)$ on the circle $x^2+y^2=h x+k y$. If the $y$-axis divides both the chords in the ratio $2: 3$, then
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In triangle $A B C, D \neq E$ are the points on $B C$ and $A C$, respectively such that $B D=2 D C$ and $A E=3 E C$. let $P$ be the point of intersect
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190
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Can diagonals be equal and perpendicular in any other shape than square?
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Rahul_Kumar_Dubey
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