A) \[\left[ \frac{a}{b}(b\pm \sqrt{{{a}^{2}}+{{b}^{2}}}),\,0 \right]\]
B) \[\left[ \frac{b}{a}(b\pm \sqrt{{{a}^{2}}+{{b}^{2}}}),\,0 \right]\]
C) \[\left[ \frac{a}{b}(a\pm \sqrt{{{a}^{2}}+{{b}^{2}}}),\,0 \right]\]
D) None of these
View Answer play_arrowA) \[\left| \frac{{{a}^{2}}-ab+{{b}^{2}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
B) \[\left| \frac{{{b}^{2}}-ab-{{a}^{2}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
C) \[\left| \frac{{{a}^{2}}+ab-{{b}^{2}}}{\sqrt{{{a}^{2}}+{{b}^{2}}}} \right|\]
D) None of these
View Answer play_arrowA) 3/2
B) 3/10
C) 6
D) None of these
View Answer play_arrowA) \[\frac{130}{17\sqrt{29}}\]
B) \[\frac{13}{7\sqrt{29}}\]
C) \[\frac{130}{17}\]
D) None of these
View Answer play_arrowA) \[(3,\,1),(-7,\,11)\]
B) \[(3,\,1),(7,\,11)\]
C) \[(-3,\,1),(-7,\,11)\]
D) \[(1,\,3),(-7,\,11)\]
View Answer play_arrowA) \[{{a}^{2}}+{{b}^{2}}={{p}^{2}}\]
B) \[{{a}^{2}}+{{b}^{2}}=\frac{1}{{{p}^{2}}}\]
C) \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{2}{{{p}^{2}}}\]
D) \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{p}^{2}}}\]
View Answer play_arrowA) \[\frac{x'y''+x''y'}{\sqrt{{{(x''-x')}^{2}}+{{(y''-y')}^{2}}}}\]
B) \[\frac{x'y''-x''y'}{\sqrt{{{(x''-x')}^{2}}+{{(y''-y')}^{2}}}}\]
C) \[\frac{x'x''+y'y''}{\sqrt{{{(x''+x')}^{2}}+{{(y''+y')}^{2}}}}\]
D) \[\frac{x'x''+y'y''}{\sqrt{{{(x''-x')}^{2}}+{{(y''-y')}^{2}}}}\]
View Answer play_arrowA) k
B) \[2k\]
C) \[{{k}^{2}}\]
D) \[2{{k}^{2}}\]
View Answer play_arrowA) \[\frac{7}{13}\]
B) \[\frac{12}{13}\]
C) \[\frac{5}{13}\]
D) \[\frac{1}{13}\]
View Answer play_arrowA) 6
B) 7
C) 5
D) 8
View Answer play_arrowA) 4
B) 5
C) 3
D) 1
View Answer play_arrowA) \[\frac{7}{2}\]
B) 4
C) \[\frac{7}{10}\]
D) None of these
View Answer play_arrowA) \[4/\sqrt{15}\]
B) \[2/\sqrt{15}\]
C) \[4/3\sqrt{3}\]
D) \[1/\sqrt{5}\]
View Answer play_arrowA) \[{{a}^{2}}\]
B) \[{{b}^{2}}\]
C) \[{{a}^{2}}+{{b}^{2}}\]
D) \[{{a}^{2}}-{{b}^{2}}\]
View Answer play_arrowA) \[7:3\]
B) 3 : 7
C) \[2:3\]
D) None of these
View Answer play_arrowA) A. P.
B) G.P.
C) H. P.
D) None of these
View Answer play_arrowA) \[2\frac{2}{5}\]
B) \[3\frac{1}{5}\]
C) \[4\frac{2}{5}\]
D) \[3\frac{2}{5}\]
View Answer play_arrowquestion_answer18) The distance between the lines \[3x-2y=1\]and \[6x+9=4y\] is [MP PET 1998]
A) \[\frac{1}{\sqrt{52}}\]
B) \[\frac{11}{\sqrt{52}}\]
C) \[\frac{4}{\sqrt{13}}\]
D) \[\frac{6}{\sqrt{13}}\]
View Answer play_arrowA) (4, 7)
B) (7, 4)
C) (5, 7)
D) (-5, -3)
View Answer play_arrowquestion_answer20) The distance of the point (-2, 3) from the line \[x-y=5\]is [MP PET 2001]
A) \[5\sqrt{2}\]
B) \[2\sqrt{5}\]
C) \[3\sqrt{5}\]
D) \[5\sqrt{3}\]
View Answer play_arrowA) \[\sqrt{2}\]
B) \[\frac{5}{\sqrt{2}}\]
C) \[\frac{1}{\sqrt{2}}\]
D) 6
View Answer play_arrowA) \[\frac{35}{\sqrt{34}}\]
B) \[\frac{1}{3\sqrt{34}}\]
C) \[\frac{35}{3\sqrt{34}}\]
D) \[\frac{35}{2\sqrt{34}}\]
View Answer play_arrowA) \[\frac{2}{5}\]
B) \[\frac{12}{5}\]
C) \[\frac{5}{12}\]
D) \[\frac{3}{5}\]
View Answer play_arrowA) Point lies on the same side of the lines
B) Point lies on the different sides of the line
C) Point lies on one of the line
D) None of these
View Answer play_arrowA) \[c\cos \alpha \]
B) \[c{{\sin }^{2}}\alpha \]
C) \[c{{\sec }^{2}}\alpha \]
D) \[c{{\cos }^{2}}\alpha \]
View Answer play_arrowquestion_answer26) The distance of point (-2, 3) from the line \[x-y=5\]is [Pb. CET 2001]
A) \[5\sqrt{2}\]
B) \[2\sqrt{5}\]
C) \[3\sqrt{5}\]
D) \[5\sqrt{3}\]
View Answer play_arrowA) \[\frac{\sqrt{5}}{2}\]
B) \[\frac{2}{5}\]
C) \[\frac{2}{\sqrt{5}}\]
D) \[\frac{1}{\sqrt{5}}\]
View Answer play_arrowA) 1 : 2
B) 2 : 1
C) 2 : 3
D) 3 : 4
View Answer play_arrowA) \[\frac{7}{13}\]
B) \[\frac{12}{13}\]
C) \[\frac{5}{13}\]
D) \[\frac{1}{13}\]
View Answer play_arrowA) \[(1,\,-1)\]
B) \[(1,\,1)\]
C) \[(0,0)\]
D) \[(0,\,1)\]
View Answer play_arrowA) \[\sqrt{3/2}\]
B) \[\sqrt{2}\]
C) \[\sqrt{2/3}\]
D) None of these
View Answer play_arrowA) \[(0,\,\,\pi /2)\]
B) \[(0,\,\pi )\]
C) \[(\pi /4,\pi /2)\]
D) \[(0,\,\,\pi /4)\]
View Answer play_arrowquestion_answer33) Which pair of points lie on the same side of \[3x-8y-7=0\] [Roorkee 1990]
A) (0, -1) and (0, 0)
B) (4, -3) and (0, 1)
C) (-3, -4) and (1, 2)
D) (-1, -1) and (3, 7)
View Answer play_arrowA) \[20\sqrt{2}\beta =11\alpha \]
B) \[20\sqrt{2}\alpha =11\beta \]
C) \[11\sqrt{2}\beta =20\alpha \]
D) None of these
View Answer play_arrowA) Below both the lines
B) Above both the lines
C) In between the lines
D) None of these
View Answer play_arrowA) On the same side of the line
B) On different side of the line
C) One point on the line and the other outside the line
D) Both point on the line
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