Most viewed questions in Geometry

7 votes
2 answers
2
The conic section that is obtained when a right circular cone is cut through a plane that is parallel to the side of the cone is called _____parabolahyperpolacircleellips...
4 votes
1 answer
4
Let $\text{R}$ be the radius of the circle. What is the angle subtended by an arc of length $\text{R}$ at the center of the circle?$1$ degree $1$ radian $90$ degrees$...
2 votes
1 answer
6
Consider a triangle represented by $A(0, 0), B(1, 1), C(5, 2)$. The triangle is rotated by $45$ degrees about a point $P(-1, -1)$. The co ordinates of the new triangle ob...
1 votes
2 answers
7
The reflection of the point $(1,2)$ with respect to the line $x + 2y =15$ is$(3,6)$$(6,3)$$(5,10)$$(10,5)$
1 votes
1 answer
8
If $S$ and $S’$ are the foci of the ellipse $3x^2 + 4y^2=12$ and $P$ is a point on the ellipse, then the perimeter of the triangle $PSS’$ is$4$$6$$8$dependent on the ...
0 votes
1 answer
9
0 votes
1 answer
10
The area of the region bounded by the curves $y=\sqrt x,$ $2y+3=x$ and $x$-axis in the first quadrant is$9$$\frac{27}{4}$$36$$18$
0 votes
1 answer
11
If a square of side $a$ and an equilateral triangle of side $b$ are inscribed in a circle then $a/b$ equals$\sqrt{2/3}$$\sqrt{3/2}$$3/ \sqrt{2}$$\sqrt{2}/3$
0 votes
1 answer
12
Angles between any pair of $4$ main diagonals of a cube are$\cos^{-1} 1/\sqrt{3}, \pi – \cos ^{-1} 1/\sqrt{3}$$\cos^{-1} 1/3, \pi – \cos ^{-1} 1/3$$\pi/2$none of the ...
1 votes
1 answer
13
Let $g(x,y) = \text{max}\{12-x, 8-y\}$. Then the minimum value of $g(x,y)$ $ $ as $(x,y)$ varies over the line $x+y =10$ is$5$$7$$1$$3$
0 votes
1 answer
14
The length of the curve $x=t^3$, $y=3t^2$ from $t=0$ to $t=4$ is$5 \sqrt{5}+1$$8(5 \sqrt{5}+1)$$5 \sqrt{5}-1$$8(5 \sqrt{5}-1)$
0 votes
1 answer
17
The polar equation $r=a \cos \theta$ representsa spirala parabolaa circlenone of the above
0 votes
2 answers
18
If $\tan\: x=p+1$ and $\tan\; y=p-1,$ then the value of $2\:\cot\:(x-y)$ is$2p$$p^{2}$$(p+1)(p-1)$$\frac{2p}{p^{2}-1}$
0 votes
1 answer
20
The area (in square unit) of the portion enclosed by the curve $\sqrt{2x}+ \sqrt{2y} = 2 \sqrt{3}$ and the axes of reference is$2$$4$$6$$8$