88398 Suppose the area of the \(\triangle \mathrm{ABC}\) is \(10 \sqrt{3}\). Length of the segments \(A C\) and \(A B\) be 5 and 8 respectively. Then the angle \(A\) is (are)

88399 If \(\theta_{1}\) and \(\theta_{2}\) are the angle between the lines given by \(\left(x^{2}+y^{2}\right)\left(\cos ^{2} \theta \sin ^{2} \alpha+\sin ^{2} \theta\right)=(x \tan\) \(\alpha-y \sin \theta)^{2}\) made with the \(x\) - axis, then for \(\theta=\frac{\pi}{6}\), the value of \(\tan \theta_{1}+\tan \theta_{2}=\)

88400 If \(\left(a, a^{2}\right)\) falls inside the angle made by the lines \(y=\frac{x}{2}, x>0\) and \(y=3 x, x>0\), then a belongs to

88401 A straight line which makes an angle of \(60^{\circ}\) with each of \(y\) and \(z\)-axes, then the angle made by the line with the \(x\)-axis-

88398 Suppose the area of the \(\triangle \mathrm{ABC}\) is \(10 \sqrt{3}\). Length of the segments \(A C\) and \(A B\) be 5 and 8 respectively. Then the angle \(A\) is (are)

88399 If \(\theta_{1}\) and \(\theta_{2}\) are the angle between the lines given by \(\left(x^{2}+y^{2}\right)\left(\cos ^{2} \theta \sin ^{2} \alpha+\sin ^{2} \theta\right)=(x \tan\) \(\alpha-y \sin \theta)^{2}\) made with the \(x\) - axis, then for \(\theta=\frac{\pi}{6}\), the value of \(\tan \theta_{1}+\tan \theta_{2}=\)

88400 If \(\left(a, a^{2}\right)\) falls inside the angle made by the lines \(y=\frac{x}{2}, x>0\) and \(y=3 x, x>0\), then a belongs to

88401 A straight line which makes an angle of \(60^{\circ}\) with each of \(y\) and \(z\)-axes, then the angle made by the line with the \(x\)-axis-

88398 Suppose the area of the \(\triangle \mathrm{ABC}\) is \(10 \sqrt{3}\). Length of the segments \(A C\) and \(A B\) be 5 and 8 respectively. Then the angle \(A\) is (are)

88399 If \(\theta_{1}\) and \(\theta_{2}\) are the angle between the lines given by \(\left(x^{2}+y^{2}\right)\left(\cos ^{2} \theta \sin ^{2} \alpha+\sin ^{2} \theta\right)=(x \tan\) \(\alpha-y \sin \theta)^{2}\) made with the \(x\) - axis, then for \(\theta=\frac{\pi}{6}\), the value of \(\tan \theta_{1}+\tan \theta_{2}=\)

88400 If \(\left(a, a^{2}\right)\) falls inside the angle made by the lines \(y=\frac{x}{2}, x>0\) and \(y=3 x, x>0\), then a belongs to

88401 A straight line which makes an angle of \(60^{\circ}\) with each of \(y\) and \(z\)-axes, then the angle made by the line with the \(x\)-axis-

88398 Suppose the area of the \(\triangle \mathrm{ABC}\) is \(10 \sqrt{3}\). Length of the segments \(A C\) and \(A B\) be 5 and 8 respectively. Then the angle \(A\) is (are)

88399 If \(\theta_{1}\) and \(\theta_{2}\) are the angle between the lines given by \(\left(x^{2}+y^{2}\right)\left(\cos ^{2} \theta \sin ^{2} \alpha+\sin ^{2} \theta\right)=(x \tan\) \(\alpha-y \sin \theta)^{2}\) made with the \(x\) - axis, then for \(\theta=\frac{\pi}{6}\), the value of \(\tan \theta_{1}+\tan \theta_{2}=\)

88400 If \(\left(a, a^{2}\right)\) falls inside the angle made by the lines \(y=\frac{x}{2}, x>0\) and \(y=3 x, x>0\), then a belongs to

88401 A straight line which makes an angle of \(60^{\circ}\) with each of \(y\) and \(z\)-axes, then the angle made by the line with the \(x\)-axis-