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HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
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- The lines x+(a-1) y+1=0 and 2 x+a^(2) y-1=0 are perpendicular if
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- If P(1,2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelog...
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- The diagonals of a parallelogram P Q R S are along the lines x+3 y=4 a...
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- If the vertices P, Q, R are rational points which of the following poi...
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- If the lines x-y-1=0,4 x+3 y=k and 2 x-3 y+1=0 are concurrent then k=
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- The centroid of a triangle formed by the points (0, 0), (cos theta, si...
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- The orthocentre of the triangle formed by (8,0) , (4,6) with the origi...
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- The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0 is
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- The locus of the point of the portion of the line x cos alpha-ysin alp...
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- The value of lambda for which the lines 3 x+4 y=5, 5 x+4 y=4 and lambd...
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- Three vertices of a parallelogram taken in order are (-1,-6),(2,-5) an...
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- The angle between the lines 2 x-y+3=0 and x+2 y+3=0 is
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- The centroid of the triangle is (2,7) and two of its vertices are (4,8...
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- A point moves such that the area of the triangle formed by it with the...
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- The area bounded by the curves x+2|y|=1 and x=0 is
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