Math Chapter Wise

EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q141.A straight line 'L' having y - intercept as ' 1 2 ' and passing through the intersection of the lines 3x+4y=11 and 7x–2y=3. Then what will be the angle formed by straight line L with the x- axis?

A300 B1 3 tan 2 − C450 D1 1 tan 2 −

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EnglishPGT 2004, 2011

Q142.The equation ax2 +by2 +cx+cy=0, c≠0 represents a pair of straight lines is;

Aa+b = 0 Ba+c=0 Cb+c= 0 DNone of these

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EnglishUP PGT 2021 UPPSC Ashram Paddhati 2021

Q143.If the equation hxy + gx + fy = c, h ≠ 0 represents a pair of straight lines, then

Afc + gh = 0 Bfh + cg = 0 Cgf + ch = 0 Dgc + f2 = 0

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EnglishUP PGT 2021, 2011

Q144.The equation of second degree 2 2 + 2 2 y + 2y + 4 + 4 2y +1 = 0 x x x represents a pair of straight lines, the distance between them is –

A4 B4/3 C2 D2 3

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EnglishUPPSC GIC 2021

Q145.The equation 2x2 -6y2 -12z2 + 18yz + 2xz + xy = 0 represents

Aa cylinder Ba sphere Ca pair of planes Dnone of the above

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EnglishUPPSC GIC 2021

Q146.The general equation of the cone of second degree which passes through the coordinate axes is-

Aax2 + by2 + cz2 = 0 Bfx gy hz 0 + + = Cax2 + by2 + cz2 + 2fyz + 2gzx Dfyz + gzx + hxy = 0

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EnglishUP PCS (Pre) 1998

Q147.The angle between the straight lines x y 3 4 0 + − = + − = + − = + − = and x 3 y 5 0 − − = − − = − − = − − = is:

Aπ/6 Bπ/3 Cπ/4 Dπ/2

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q148.If a pair of equation in two variables x and y is represented graphically by two straight line L1and L2 intersecting each other at the point a + b,2ab 2, then what will be the solutions of the given equations?

A1 1 x,y a b 2ab = + Ba b x 2ab, y 2 + = + = Ca b x,y 2ab 2 + = Dx = a+b, y = ab

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q149.If A (6,3), B (–3,5), C(4,–2) and D(x,3x) Area(∆DBC) 3 = Area(∆ABC) 2. There are 4 points along of x then what will be the value of x?

A23/8 B177/56 C25/8 D173/56

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q150.There are four points A1 (x1, y1), A2 (x2, y2) A3 (x3, y3) and A4 (x4, y4). P1 divides A1A2 in the ratio 1: 1, P2 divides P1A3 in the ratio 1: 2 and P3 divides P2 A4 in the ratio 1: 3, then what will be the co- ordinate of the point 'P3'?

A1 3 1 3 x x y y, 2 2 + + B1 2 3 4 1 2 3 4 x x x x y y y y, 4 4 + + + + + + C2 4 2 4 x x y y, 2 2 + + D1 2 3 1 2 3 x x x y y y, 3 3 + + + +

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q151.If the vertices of a parallelogram are (–6, 2) and (2, –4) and other vertices of the next diagonal (5, 2), then what will the 4th vertex of the diagonal?

A(9,4) B(9, –4) C(–9, –4) D(–9, 4)

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q152.If (a, b), (x1, y1) and (x2, y2) are the vertices of a triangle such that the x–co-ordinates a, x1, x2 are in geometric progression with common ratio r and the y co-ordinates b, y1, y2 are also geometric progression with common ratio s, then the area of the triangle is.

A()()() 1 ab r 1 s 1 s r 2 − − + B()()() 1 ab r 1 s 1 s r 2 − − − C()()() ab r 1 s 1 s r − − + D()()() ab r 1 s 1 s r − − −

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EnglishLT 2018

Q153.The 2 2 5x 6xy 5y 26x 22y 29 0 − + + − + = − + + − + = − + + − + = − + + − + = conic represents

Aa circle Ba parabola Ca hyperbola Dan ellipse

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EnglishLT 2018

Q154.If the sum of the slopes of the lines 2 2 x 2 xy 7y 0 − λ − = − λ − = − λ − = − λ − = is four times their product, then the value of λ is

A–1 B2 C–2 D1

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q155.If the area of a triangle having vertices (2,7), (5,1) and (x,3) is 18sq. units then the value of x is–

A10 B2 C–2 D–10

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q156.The co-ordinates of the point which divide the line segment joining the points (8,9) and (–7,4) internally in the ratio 2:3 is–

A(7, 2) B(2,7) C(–7,2) D(2, –7)

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q157.Two angles of an isosceles triangle are always–

AEqual BEqual to 450 CEqual to 600 DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q158.The area of an equilateral triangle whose side is 5 cm is equal to–

A2/3 6.25cm B2/3 5.25cm C2/3 25cm DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q159.The hollow sphere, in which the circus motor cyclist performs his stunts, has a diameter of 7m. Then the area available to the motorcyclist for riding is–

A2/59 m B2/50 m C2/49 m DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q160.If altitudes of a triangle are in A.P. then sides of the triangle are in–

AA.P. BG.P. CH.P. DNone of these

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