The ratio in which the point P (3 4 , 5 12 ) divides the line segment joining the points A(1/2, 3/2) and B(2, - 5) is ____________ .

The ratio in which the point P (3 4 , 5 12 ) divides the line seg…

A die has its six faces marked 0, 1, 1, 1, 6, 6. If two such dice are thrown together, then the probability of getting a total of 7 is ____________ .

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If the pair of equations 2x + 3y - 5 = 0 and px - 6y - 8 = 0 has a unique solution for all real values of p except __________.

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If $\triangle ABC \sim \triangle EDF$, then ____________ .

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If the common difference of an A.P. is 5, then $a_{18}-a_{13}=$__________.

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The system of equations ax + 3y = 1 - 12x + ay = 2 has __________ for all real values of 4.

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The parabola representing a quadratic polynomial $f(x)=a x^2+b x+c$ opens upward when __________.

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Two identical solid cubes of side a are joined end to end. The total surface area of the resulting cuboid is ____________ .

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If x = a y = b is the solution of the pair of equations x - y = 2 and x + y = 4 then a= __________ and b = __________.

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If 1/2 is a root of the equation $x^2+k x-\frac{5}{4}=0$, then the value of k is __________.

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If in two triangles ABC and PQR, $\frac{A B}{Q R}=\frac{B C}{P R}=\frac{C A}{P Q}$, then $\triangle P Q R \sim$ ____________ .

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