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x + 8y – 22 = 0, 5x + 2y – 34 = 0, 2x – 3y + 13 = 0 are the three sides of a triangle. The area of the triangle is
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The line AB cuts off equal intercepts 2a from the axes. From any point P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid-point of RS is
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The line AB cuts off equal intercepts 2a from the axes. From any point P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid-point of RS is
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The points \((-a,-b),(a, b),(0,0)\) and \(\left(a^{2}, a b\right), a \neq 0, b \neq 0\) are always lie on this line. Hence, collinear
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If in a triangle ABC,AD, BE and CF are the altitudes and R is the circumradius, then the radius of the circumcircle of DEF is
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The smallest positive root of the equation tan x – x = 0 lies in
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The value of \(\cos 15^{\circ} \cos 7 \frac{1^{\circ}}{2} \sin 7 \frac{1^{\circ}}{2}\) is
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Let \(A\) and \(B\) two events such that \(P(A \cap B)=\frac{1}{6}, P(A \cup B)=\frac{31}{45}\) and \(P(\bar{B})=\frac{7}{10}\) then
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The smallest positive root of the equation tan x – x = 0 lies in
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1. Let A and B two events such that ( ) 1 31 7 P A B , P(A B) and P(B) ∩ = ∪ = = then 6 45 10
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