Question Answer : Graphic%20Representation%20of%20Straight%20Lines-ENGLISH

Q.1	For which value of k the pair of linear equations $x + 2 y = 5$ and $3 x + k y + 15 = 0$ has no solution ? A. 6 B. -6 C. 2 D. -2 Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.2	The equations of two sides of a right angled $Δ$ are $y = x$ & $y = 0$ which of the following equations can not represent the 3rd side ? A. $x = 5$ B. $x = 2$ C. $x = 0$ D. $x = - 3$ Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.3	What is the area of $Δ$ formed b a co-ordinate axes and $a x + b y = c$ (where a, b are two positive real numbers) A. $\frac{c^{2}}{a b} s q . u n i t$ B. $\frac{a^{2}}{2 b c} s q . u n i t$ C. $\frac{c^{2}}{2 a b} s q . u n i t$ D. $\frac{a^{2}}{b c} s q . u n i t$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.4	If $(x - 3),$ is a factor of $k^{2} x^{3} - k x^{2} + 3 k x - k$ then the value of k is : A. $3 \sqrt{3}$ B. $\frac{1}{27}$ C. 27 D. 7 Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.5	If $a b < 0$ and point $(a, b)$ is in 2nd quadrant then $(- a, - b)$ will be in :? A. 1st quadrant B. 2nd quadrant C. 4th quadrant D. 3rd quadrant Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.6	Area of the $Δ$ (in sq. m) formed by the graphs of three equations $x = 4, y = 3$ and $3 x + 4 y = 12$ is : ? A. 12 B. 10 C. 6 D. 8 Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.7	The circumradius of that $Δ$ which is formed by x-axis, y-axis and $4 x + 3 y = 12;$ is : ? A. $2 u n i t$ B. $2.5 u n i t$ C. $3 u n i t$ D. $4 u n i t$ Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.8	Two simple linear equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} x + b_{2} y + c_{2} = 0$ has an infinite number of solutions if - A. $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ B. $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ C. $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ D. $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.9	If the equations of two parallel lines are $2 x + 3 y = k$ and $4 x + 6 y = 8$ , which of the following is correct ? A. $k \neq 2$ B. $k \neq 3$ C. $k \neq 6$ D. $k \neq 4$ Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.10	If straight line $3 x + 5 y = 24$ intersects x-axis at any point then co-ordinates of that point is ? A. $(8, 0)$ B. $(0, 8)$ C. $(0, 4)$ D. $(4, 0)$ Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.11	If graph of the equation $4 x + 3 y = 12$ intersect the coordinate axes at the points A and B then the length of hypotenuse of $Δ A O B$ is : A. $4 u n i t$ B. $3 u n i t$ C. $5 u n i t$ D. $2 u n i t$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.12	The area of $Δ$ formed by y-axis, $x - y = 1$ and $2 x + y = 8$ is : A. $13 s q . u n i t$ B. $14 s q . u n i t$ C. $13.5 s q . u n i t$ D. $16 s q . u n i t$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.13	For which value of k, the polynomial $2 x^{4} + 3 x^{3} + 2 k x^{2} + 3 x + 6$ is completely divisible by $x + 2$ ? A. 1 B. 2 C. -2 D. -1 Answer : Option D Discussion Answer : Option D Error Report!! View Answer Discuss on Question Error In Question
Q.14	If point $(3, 4)$ is situated on the graph of equation $3 y = a x + 7$ then the value of a is : A. $\frac{5}{3}$ B. $\frac{2}{3}$ C. $\frac{4}{3}$ D. $\frac{7}{3}$ Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.15	What will be the area of that $Δ$ which is formed by x-axis and lines of equations $2 x + y = 6$ & $2 x - y + 2 = 0$ . A. $8 s q . u n i t$ B. $6 s q . u n i t$ C. $16 s q . u n i t$ D. $20 s q . u n i t$ Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.16	For which value of a; $(x - a)$ is a factor of polynomial $f (x) = x^{5} - a^{2} x^{3} + 2 x + a - 3$ ? A. -1 B. 1 C. -2 D. 2 Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question
Q.17	Area of the $Δ$ formed by $A (2, 0), B (6, 0) & C (4, 6)$ is : A. $10 s q . u n i t$ B. $15 s q . u n i t$ C. $12 s q . u n i t$ D. $16 s q . u n i t$ Answer : Option C Discussion Answer : Option C Error Report!! View Answer Discuss on Question Error In Question
Q.18	One factor of polynomial $f (x) = x^{3} + x^{2} - 17 x + 15$ is : A. $x - 3$ B. $x - 5$ C. $x + 3$ D. $x + 1$ Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.19	For which value of x the distance between points $(x, - 1)$ and $(3, 2)$ will be 5 ? A. 7 B. 1 C. -7 D. 2 Answer : Option A Discussion Answer : Option A Error Report!! View Answer Discuss on Question Error In Question
Q.20	The co-ordinates of points P, Q and S are $(a t^{2}, 2 a t),$ $(\frac{a}{t^{2}}, \frac{2 a}{t})$ and $(a, 0)$ respectively then $\frac{1}{S P} + \frac{1}{S Q} = ?$ A. 1 B. $\frac{1}{a}$ C. a D. $\frac{1}{a^{2}}$ Answer : Option B Discussion Answer : Option B Error Report!! View Answer Discuss on Question Error In Question

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