88361 If the sum of the slopes of the lines given by \(x^{2}-\) \(2 \mathrm{cxy}-7 \mathrm{y}^{2}=0\) is four times their product, then \(\mathbf{c}=\) :

88362 The nearest point on the line \(3 x-4 y=25\) from the origin is

88363 If \(m_{1}\) and \(m_{2}\) are slopes of the lines represented by \(\left(\sec ^{2} \theta-\sin ^{2} \theta\right) x^{2}-2\)
\(\boldsymbol{\operatorname { t a n }} \theta \mathrm{xy}+\sin ^{2} \theta \mathrm{y}^{2}=0\), then \(\left|\mathrm{m}_{1}-\mathrm{m}_{2}\right|=\)

88364 If slopes of lines represented by \(\mathrm{kx}^{2}+5 \mathrm{xy}+\mathrm{y}^{2}=0\) differ by 1 , then \(\mathrm{k}=\)

88366 A line cuts off equal intercepts on the coordinate axes. The angle made by this line with the positive direction of \(\mathbf{X}\)-axis is

88361 If the sum of the slopes of the lines given by \(x^{2}-\) \(2 \mathrm{cxy}-7 \mathrm{y}^{2}=0\) is four times their product, then \(\mathbf{c}=\) :

88362 The nearest point on the line \(3 x-4 y=25\) from the origin is

88363 If \(m_{1}\) and \(m_{2}\) are slopes of the lines represented by \(\left(\sec ^{2} \theta-\sin ^{2} \theta\right) x^{2}-2\)
\(\boldsymbol{\operatorname { t a n }} \theta \mathrm{xy}+\sin ^{2} \theta \mathrm{y}^{2}=0\), then \(\left|\mathrm{m}_{1}-\mathrm{m}_{2}\right|=\)

88364 If slopes of lines represented by \(\mathrm{kx}^{2}+5 \mathrm{xy}+\mathrm{y}^{2}=0\) differ by 1 , then \(\mathrm{k}=\)

88366 A line cuts off equal intercepts on the coordinate axes. The angle made by this line with the positive direction of \(\mathbf{X}\)-axis is

88361 If the sum of the slopes of the lines given by \(x^{2}-\) \(2 \mathrm{cxy}-7 \mathrm{y}^{2}=0\) is four times their product, then \(\mathbf{c}=\) :

88362 The nearest point on the line \(3 x-4 y=25\) from the origin is

88363 If \(m_{1}\) and \(m_{2}\) are slopes of the lines represented by \(\left(\sec ^{2} \theta-\sin ^{2} \theta\right) x^{2}-2\)
\(\boldsymbol{\operatorname { t a n }} \theta \mathrm{xy}+\sin ^{2} \theta \mathrm{y}^{2}=0\), then \(\left|\mathrm{m}_{1}-\mathrm{m}_{2}\right|=\)

88364 If slopes of lines represented by \(\mathrm{kx}^{2}+5 \mathrm{xy}+\mathrm{y}^{2}=0\) differ by 1 , then \(\mathrm{k}=\)

88366 A line cuts off equal intercepts on the coordinate axes. The angle made by this line with the positive direction of \(\mathbf{X}\)-axis is

88361 If the sum of the slopes of the lines given by \(x^{2}-\) \(2 \mathrm{cxy}-7 \mathrm{y}^{2}=0\) is four times their product, then \(\mathbf{c}=\) :

88362 The nearest point on the line \(3 x-4 y=25\) from the origin is

88363 If \(m_{1}\) and \(m_{2}\) are slopes of the lines represented by \(\left(\sec ^{2} \theta-\sin ^{2} \theta\right) x^{2}-2\)
\(\boldsymbol{\operatorname { t a n }} \theta \mathrm{xy}+\sin ^{2} \theta \mathrm{y}^{2}=0\), then \(\left|\mathrm{m}_{1}-\mathrm{m}_{2}\right|=\)

88364 If slopes of lines represented by \(\mathrm{kx}^{2}+5 \mathrm{xy}+\mathrm{y}^{2}=0\) differ by 1 , then \(\mathrm{k}=\)

88366 A line cuts off equal intercepts on the coordinate axes. The angle made by this line with the positive direction of \(\mathbf{X}\)-axis is

88361 If the sum of the slopes of the lines given by \(x^{2}-\) \(2 \mathrm{cxy}-7 \mathrm{y}^{2}=0\) is four times their product, then \(\mathbf{c}=\) :

88362 The nearest point on the line \(3 x-4 y=25\) from the origin is

88363 If \(m_{1}\) and \(m_{2}\) are slopes of the lines represented by \(\left(\sec ^{2} \theta-\sin ^{2} \theta\right) x^{2}-2\)
\(\boldsymbol{\operatorname { t a n }} \theta \mathrm{xy}+\sin ^{2} \theta \mathrm{y}^{2}=0\), then \(\left|\mathrm{m}_{1}-\mathrm{m}_{2}\right|=\)

88364 If slopes of lines represented by \(\mathrm{kx}^{2}+5 \mathrm{xy}+\mathrm{y}^{2}=0\) differ by 1 , then \(\mathrm{k}=\)

88366 A line cuts off equal intercepts on the coordinate axes. The angle made by this line with the positive direction of \(\mathbf{X}\)-axis is