119688 If \((3, \lambda)\) and \((5,6)\) are the conjugate point of \(\mathbf{x}^2+\mathbf{y}^2=3\), then \(\lambda\) is equal to

119692 Let \(A B\) be a line segment of length 2 . Construct a semicircle \(S\) with \(A B\) as diameter. Let \(C\) be the midpoint of the arcAB. Construct another semicircle \(T\) external to the triangle \(A B C\) with chord \(A C\) as diameter. The area of the region inside the semicircle \(T\) but outside \(S\) is

119693 Suppose \(Q\) is a point on the circle with centre \(P\) and radius 1 , as shown in the figure; \(R\) is a point outside the circle such that \(Q R=1\) and \(\angle Q R P=2^0\). Let \(S\) be the point where the segment RP intersects the given circle. Then measure of \(\angle \mathrm{RQS}\) equals

119694 Suppose that the earth is a sphere of radius 6400 kilometers. The height from the earth's surface from where exactly a fourth of the earth's surface is visible, is

119688 If \((3, \lambda)\) and \((5,6)\) are the conjugate point of \(\mathbf{x}^2+\mathbf{y}^2=3\), then \(\lambda\) is equal to

119692 Let \(A B\) be a line segment of length 2 . Construct a semicircle \(S\) with \(A B\) as diameter. Let \(C\) be the midpoint of the arcAB. Construct another semicircle \(T\) external to the triangle \(A B C\) with chord \(A C\) as diameter. The area of the region inside the semicircle \(T\) but outside \(S\) is

119693 Suppose \(Q\) is a point on the circle with centre \(P\) and radius 1 , as shown in the figure; \(R\) is a point outside the circle such that \(Q R=1\) and \(\angle Q R P=2^0\). Let \(S\) be the point where the segment RP intersects the given circle. Then measure of \(\angle \mathrm{RQS}\) equals

119694 Suppose that the earth is a sphere of radius 6400 kilometers. The height from the earth's surface from where exactly a fourth of the earth's surface is visible, is

119688 If \((3, \lambda)\) and \((5,6)\) are the conjugate point of \(\mathbf{x}^2+\mathbf{y}^2=3\), then \(\lambda\) is equal to

119692 Let \(A B\) be a line segment of length 2 . Construct a semicircle \(S\) with \(A B\) as diameter. Let \(C\) be the midpoint of the arcAB. Construct another semicircle \(T\) external to the triangle \(A B C\) with chord \(A C\) as diameter. The area of the region inside the semicircle \(T\) but outside \(S\) is

119693 Suppose \(Q\) is a point on the circle with centre \(P\) and radius 1 , as shown in the figure; \(R\) is a point outside the circle such that \(Q R=1\) and \(\angle Q R P=2^0\). Let \(S\) be the point where the segment RP intersects the given circle. Then measure of \(\angle \mathrm{RQS}\) equals

119694 Suppose that the earth is a sphere of radius 6400 kilometers. The height from the earth's surface from where exactly a fourth of the earth's surface is visible, is

119688 If \((3, \lambda)\) and \((5,6)\) are the conjugate point of \(\mathbf{x}^2+\mathbf{y}^2=3\), then \(\lambda\) is equal to

119692 Let \(A B\) be a line segment of length 2 . Construct a semicircle \(S\) with \(A B\) as diameter. Let \(C\) be the midpoint of the arcAB. Construct another semicircle \(T\) external to the triangle \(A B C\) with chord \(A C\) as diameter. The area of the region inside the semicircle \(T\) but outside \(S\) is

119693 Suppose \(Q\) is a point on the circle with centre \(P\) and radius 1 , as shown in the figure; \(R\) is a point outside the circle such that \(Q R=1\) and \(\angle Q R P=2^0\). Let \(S\) be the point where the segment RP intersects the given circle. Then measure of \(\angle \mathrm{RQS}\) equals

119694 Suppose that the earth is a sphere of radius 6400 kilometers. The height from the earth's surface from where exactly a fourth of the earth's surface is visible, is