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POLYCET,TGRJC MATHS PREVIOUS MCQ TEST-4

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1/10
\(logtan1^ \circ\)+\(logtan2^\circ\)+\(logtan3^ \circ\)+...........+\(logtan89^\circ\)=
1)0
2)\(logtan90^\circ\)
3)1
4)\(-\frac{1}{3}\)
2/10
If \(\alpha\) and \(\beta\) are the zeroes of \(x^2-p(x+1)-c\) then \((\alpha+1)(\beta+1)\)=
1)\( p^2+2p+2c \)
2)\(-( 1+\frac{c}{p}) \)
3)1-c
4)p
3/10
If \(log^{(5x^2-6x)}_\sqrt{2}\)=2 then x=
1)\(\frac{4\pm\sqrt{5}}{6} \)
2)\(\frac{-4\pm\sqrt{5}}{6} \)
3)\(\frac{3\pm\sqrt{19}}{5} \)
4)\(\frac{-3\pm\sqrt{17}}{5} \)
4/10
If \({( \sqrt[3]{4} )}^{2x + \frac{1}{2}}\) = \(\frac{1}{32}\) then the value of x
1)4
2)-4
3)2
4)-2
5/10
The distance between two points where the graph of \(p(x)=x^2-3x-4\) intersects the X-axis is .....units
1)2
2)3
3)4
4)5
6/10
If (3,9) is a point on the line 2ax-3y=5 then the value of a=
1)5
2)\(\frac{3}{14}\)
3)\(\frac{16}{3}\)
4)\(\frac{-2}{5}\)
7/10
Which term of the A.P 3,10,17....will be 84 more than its 13th term
1)21
2)23
3)27
4)25
8/10
If \( tan \theta +sin \theta=p \) and \( tan \theta -sin\theta=q\) then \(p^2-q^2\)=
1) \(16\sqrt{pq} \)
2) \(4\sqrt{pq} \)
3)16pq
4)4pq
9/10
If \(n(A-B)\)=16,\(n(B-A)\)=10,\(n( A \cap B )\)=5 then \((A \cup B )\)=
1) 16
2) 10
3) 31
4)15
10/10
If sum of squares of the zeroes of the polynomial \( f(x)=x^2-8x+k\) is 40 then value of k is
1)10
2)16
3)14
4)12

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